04:50Trigonometric Functions and Graphing: Amplitude, Period, Vertical and Horizontal Shifts, Ex 2patrickJMT336views
02:22Finding Amplitude, Period, Horizontal and Vertical Shifts of a Trig Function EX 1patrickJMT390views
Multiple ChoiceWritten below (green dotted curve) is a graph of the function f(x)=x−2f\left(x\right)=\sqrt{x-2}f(x)=x−2. If g(x) (blue solid curve) is a reflection of f(x) about the y-axis what is the equation for g(x)?143views5rankHas a video solution.
Multiple ChoiceThe green dotted line in the graph below represents the function f(x)f\left(x\right)f(x). The blue solid line represents the function g(x)g\left(x\right)g(x), which is the function f(x)f\left(x\right)f(x) after it has gone through a shift transformation. Find the equation for g(x)g\left(x\right)g(x).176views4rankHas a video solution.
Multiple ChoiceThe green dotted curve below is a graph of the function f(x)f\left(x\right)f(x). Find the domain and range of g(x)g\left(x\right)g(x) (the blue solid curve), which is a transformation of f(x)f\left(x\right)f(x).219views2rankHas a video solution.
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(x)+1136viewsHas a video solution.
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(x+1)308viewsHas a video solution.
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(-x)136viewsHas a video solution.
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = -f(x) +3141viewsHas a video solution.
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(-x)+3198viewsHas a video solution.
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = 2f(x)185viewsHas a video solution.
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(x/2)135viewsHas a video solution.
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = -f(2x) - 1163viewsHas a video solution.
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(x) - 1126viewsHas a video solution.
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(x-1)140viewsHas a video solution.
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(x-1)+2178viewsHas a video solution.
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(x + 1) − 2126viewsHas a video solution.
Textbook QuestionGraph each function. See Examples 1 and 2. g(x)=(1/2)x^2118viewsHas a video solution.
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(-x)143viewsHas a video solution.
Textbook QuestionGraph each function. See Examples 1 and 2. ƒ(x)=-(1/2)x^2168viewsHas a video solution.
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(-x)+1194viewsHas a video solution.
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = -f(x)+1135viewsHas a video solution.
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = ½ f(x)134viewsHas a video solution.
Textbook QuestionGraph each function. See Examples 1 and 2. h(x)=|-(1/2)x|106viewsHas a video solution.
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = f(x)+2164viewsHas a video solution.
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = f(x+2)138viewsHas a video solution.
Textbook QuestionPlot each point, and then plot the points that are symmetric to the given point with respect to the (a) x-axis, (b) y-axis, and (c) origin. (5, -3)134viewsHas a video solution.
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = -(1/2)f(x+2)135viewsHas a video solution.
Textbook QuestionPlot each point, and then plot the points that are symmetric to the given point with respect to the (a) x-axis, (b) y-axis, and (c) origin. (-4, -2)115viewsHas a video solution.
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = -½ ƒ ( x + 2) —2153viewsHas a video solution.
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = (1/2)f(2x)144viewsHas a video solution.
Textbook QuestionWithout graphing, determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. See Examples 3 and 4. y=x^2+5529viewsHas a video solution.
Textbook QuestionIn Exercises 45-52, use the graph of y = f(x) to graph each function g. g(x) = -f(x-1) + 1161viewsHas a video solution.
Textbook QuestionWithout graphing, determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. See Examples 3 and 4. x^2+y^2=12161viewsHas a video solution.
Textbook QuestionIn Exercises 45-52, use the graph of y = f(x) to graph each function g. g(x) = -f(x + 1) − 1143viewsHas a video solution.
Textbook QuestionIn Exercises 45-52, use the graph of y = f(x) to graph each function g. g(x)=2f(x-1)181viewsHas a video solution.
Textbook QuestionIn Exercises 53-66, begin by graphing the standard quadratic function, f(x) = x². Then use transformations of this graph to graph the given function. g(x) = x² - 2153viewsHas a video solution.
Textbook QuestionIn Exercises 53-66, begin by graphing the standard quadratic function, f(x) = x². Then use transformations of this graph to graph the given function. g(x) = (x − 2)²145viewsHas a video solution.
Textbook QuestionIn Exercises 55–59, use the graph of to graph each function g. g(x) = f(x + 2) + 3138viewsHas a video solution.
Textbook QuestionIn Exercises 55–59, use the graph of to graph each function g. g(x) = -f(2x)158viewsHas a video solution.
Textbook QuestionIn Exercises 60–63, begin by graphing the standard quadratic function, f(x) = x^2. Then use transformations of this graph to graph the given function. g(x) = x^2 + 2142viewsHas a video solution.
Textbook QuestionIn Exercises 60–63, begin by graphing the standard quadratic function, f(x) = x^2. Then use transformations of this graph to graph the given function. r(x) = -(x + 1)^2146viewsHas a video solution.
Textbook QuestionIn Exercises 53-66, begin by graphing the standard quadratic function, f(x) = x². Then use transformations of this graph to graph the given function. g(x) = (1/2)(x − 1)²156viewsHas a video solution.
Textbook QuestionIn Exercises 64–66, begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to graph the given function. g(x) = √(x + 3)127viewsHas a video solution.
Textbook QuestionIn Exercises 53-66, begin by graphing the standard quadratic function, f(x) = x². Then use transformations of this graph to graph the given function. h(x) = (1/2) (x − 1)² – 1266viewsHas a video solution.
Textbook QuestionIn Exercises 64–66, begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to graph the given function. r(x) = 2√(x + 2)424viewsHas a video solution.
Textbook QuestionIn Exercises 53-66, begin by graphing the standard quadratic function, f(x) = x². Then use transformations of this graph to graph the given function. h(x) = -2(x+2)²+1113viewsHas a video solution.
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=x^2+2102viewsHas a video solution.
Textbook QuestionIn Exercises 67-80, begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to graph the given function. g(x) = √x + 1129viewsHas a video solution.
Textbook QuestionIn Exercises 67-80, begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to graph the given function. g(x) = √(x+1)136viewsHas a video solution.
Textbook QuestionIn Exercises 67-80, begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to graph the given function. h(x)=-√(x + 1)146viewsHas a video solution.
Textbook QuestionConsider the following nonlinear system. Work Exercises 75 –80 in order. y = | x - 1 | y = x^2 - 4 How is the graph of y = | x - 1 | obtained by transforming the graph of y = | x |?111viewsHas a video solution.
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. h(x)=-(x+1)^3104viewsHas a video solution.
Textbook QuestionIn Exercises 67-80, begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to graph the given function. h(x) = √(x+1)-1136viewsHas a video solution.
Textbook QuestionIn Exercises 67-80, begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to graph the given function. g(x) = 2√(x+1)-1127viewsHas a video solution.
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=-3(x-2)^2+1110viewsHas a video solution.
Textbook QuestionIn Exercises 81–94, begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. g(x) = |x|+3140viewsHas a video solution.
Textbook QuestionIn Exercises 81–94, begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. g(x) = |x+3|145viewsHas a video solution.
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=2√x+1139viewsHas a video solution.
Textbook QuestionIn Exercises 81–94, begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. h(x) = |x + 3| - 2142viewsHas a video solution.
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=3√x-2134viewsHas a video solution.
Textbook QuestionWhat is the relationship between the graphs of ƒ(x)=|x| and g(x)=|-x|?126viewsHas a video solution.
Textbook QuestionIn Exercises 81–94, begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. h(x) = 2|x+3|154viewsHas a video solution.
Textbook QuestionIn Exercises 81–94, begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. g(x) = -2|x+3|+2121viewsHas a video solution.
Textbook QuestionEach of the following graphs is obtained from the graph of ƒ(x)=|x| or g(x)=√x by applying several of the transformations discussed in this section. Describe the transformations and give an equation for the graph. 109viewsHas a video solution.
Textbook QuestionIn Exercises 95-106, begin by graphing the standard cubic function, f(x) = x³. Then use transformations of this graph to graph the given function. g(x) = x³-3126viewsHas a video solution.
Textbook QuestionDescribe how the graph of each function can be obtained from the graph of ƒ(x) = |x|. g(x) = -|x|384viewsHas a video solution.
Textbook QuestionIn Exercises 95-106, begin by graphing the standard cubic function, f(x) = x³. Then use transformations of this graph to graph the given function. g(x) = (x − 3)^3152viewsHas a video solution.
Textbook QuestionLet ƒ(x) = 3x -4. Find an equation for each reflection of the graph of ƒ(x). across the x-axis152viewsHas a video solution.
Textbook QuestionIn Exercises 95-106, begin by graphing the standard cubic function, f(x) = x³. Then use transformations of this graph to graph the given function. h(x) = -x³133viewsHas a video solution.
Textbook QuestionLet ƒ(x) = 3x -4. Find an equation for each reflection of the graph of ƒ(x). across the y-axis111viewsHas a video solution.
Textbook QuestionEach of the following graphs is obtained from the graph of ƒ(x)=|x| or g(x)=√x by applying several of the transformations discussed in this section. Describe the transformations and give an equation for the graph. 132viewsHas a video solution.
Textbook QuestionThe graph of a function ƒ is shown in the figure. Sketch the graph of each function defined as follows. (a) y = ƒ(x) +3113viewsHas a video solution.
Textbook QuestionThe graph of a function ƒ is shown in the figure. Sketch the graph of each function defined as follows. (b) y = ƒ(x-2)114viewsHas a video solution.
Textbook QuestionThe graph of a function ƒ is shown in the figure. Sketch the graph of each function defined as follows. (c) y = ƒ(x+3) - 2229viewsHas a video solution.
Textbook QuestionIn Exercises 95-106, begin by graphing the standard cubic function, f(x) = x³. Then use transformations of this graph to graph the given function. r(x) = (x − 2)³ +1139viewsHas a video solution.
Textbook QuestionThe graph of a function ƒ is shown in the figure. Sketch the graph of each function defined as follows. (d) y = |ƒ(x)|196viewsHas a video solution.
Textbook QuestionIn Exercises 107-118, begin by graphing the cube root function, f(x) = ∛x. Then use transformations of this graph to graph the given function. g(x) = ∛x+2240viewsHas a video solution.
Textbook QuestionIn Exercises 107-118, begin by graphing the cube root function, f(x) = ∛x. Then use transformations of this graph to graph the given function. g(x) = ∛(x-2)481viewsHas a video solution.
Textbook QuestionIn Exercises 107-118, begin by graphing the cube root function, f(x) = ∛x. Then use transformations of this graph to graph the given function. g(x) = (1/2)∛(x-2)143viewsHas a video solution.
Textbook QuestionIn Exercises 107-118, begin by graphing the cube root function, f(x) = ∛x. Then use transformations of this graph to graph the given function. g(x) = (1/2)∛(x+2) - 2172viewsHas a video solution.
Textbook QuestionIn Exercises 107-118, begin by graphing the cube root function, f(x) = ∛x. Then use transformations of this graph to graph the given function. ∛(-x-2)192viewsHas a video solution.
Textbook QuestionIn Exercises 81–94, begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. g(x) = -|x + 4| +2221viewsHas a video solution.