Guided course 1:02Format for the Vertical Stretch or Compression of the Graphs of FunctionsPearson447views
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)?283views9rank
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).372views3rank
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).512views5rank
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(x)+1276views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(x+1)521views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(-x)245views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = -f(x) +3232views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(-x)+3371views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = 2f(x)282views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(x/2)231views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = -f(2x) - 1255views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(x) - 1259views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(x-1)237views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(x-1)+2350views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(x + 1) − 2203views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(-x)240views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(-x)+1277views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = -f(x)+1207views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = ½ f(x)217views
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = f(x)+2280views
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = f(x+2)212views
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)270views
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = -(1/2)f(x+2)216views
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)209views
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = -½ ƒ ( x + 2) —2224views
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = (1/2)f(2x)246views
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+51112views
Textbook QuestionIn Exercises 45-52, use the graph of y = f(x) to graph each function g. g(x) = -f(x-1) + 1260views
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=12437views
Textbook QuestionIn Exercises 45-52, use the graph of y = f(x) to graph each function g. g(x) = -f(x + 1) − 1261views
Textbook QuestionIn Exercises 45-52, use the graph of y = f(x) to graph each function g. g(x)=2f(x-1)319views
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 - 2328views
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)²250views
Textbook QuestionIn Exercises 55–59, use the graph of to graph each function g. g(x) = f(x + 2) + 3245views
Textbook QuestionIn Exercises 55–59, use the graph of to graph each function g. g(x) = -f(2x)259views
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 + 2264views
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)^2249views
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)²252views
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)216views
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 – 1397views
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)720views
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+1215views
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=x^2+2189views
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 + 1230views
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)231views
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)263views
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 |?206views
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. h(x)=-(x+1)^3182views
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)-1250views
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)-1209views
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=-3(x-2)^2+1191views
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|+3238views
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|242views
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=2√x+1213views
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| - 2239views
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=3√x-2231views
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|238views
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|+2206views
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. 223views
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) = x³-3218views
Textbook QuestionDescribe how the graph of each function can be obtained from the graph of ƒ(x) = |x|. g(x) = -|x|704views
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)^3267views
Textbook QuestionLet ƒ(x) = 3x -4. Find an equation for each reflection of the graph of ƒ(x). across the x-axis363views
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) = -x³216views
Textbook QuestionLet ƒ(x) = 3x -4. Find an equation for each reflection of the graph of ƒ(x). across the y-axis202views
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. 252views
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) +3227views
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)247views
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) - 2370views
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 +1216views
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)|336views
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+2430views
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)742views
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)218views
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) - 2301views
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)345views
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| +2410views