Guided course 1:02Format for the Vertical Stretch or Compression of the Graphs of FunctionsPearson449views
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)?286views9rank
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).373views3rank
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).516views5rank
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(x)+1279views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(x+1)523views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(-x)247views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = -f(x) +3235views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(-x)+3373views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = 2f(x)284views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = f(x/2)234views
Textbook QuestionIn Exercises 1-16, use the graph of y = f(x) to graph each function g. g(x) = -f(2x) - 1257views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(x) - 1261views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(x-1)240views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(x-1)+2352views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(x + 1) − 2206views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(-x)242views
Textbook QuestionIn Exercises 17-32, use the graph of y = f(x) to graph each function g. g(x) = f(-x)+1279views
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)218views
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = f(x)+2282views
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)272views
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = -(1/2)f(x+2)218views
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)213views
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = -½ ƒ ( x + 2) —2225views
Textbook QuestionIn Exercises 33-44, use the graph of y = f(x) to graph each function g. g(x) = (1/2)f(2x)249views
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+51114views
Textbook QuestionIn Exercises 45-52, use the graph of y = f(x) to graph each function g. g(x) = -f(x-1) + 1263views
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=12440views
Textbook QuestionIn Exercises 45-52, use the graph of y = f(x) to graph each function g. g(x) = -f(x + 1) − 1263views
Textbook QuestionIn Exercises 45-52, use the graph of y = f(x) to graph each function g. g(x)=2f(x-1)322views
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 - 2331views
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)²253views
Textbook QuestionIn Exercises 55–59, use the graph of to graph each function g. g(x) = f(x + 2) + 3246views
Textbook QuestionIn Exercises 55–59, use the graph of to graph each function g. g(x) = -f(2x)262views
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 + 2267views
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)^2250views
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)²254views
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)219views
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 – 1399views
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)724views
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+1216views
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=x^2+2191views
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 + 1233views
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)232views
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)264views
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 |?210views
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. h(x)=-(x+1)^3184views
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)-1252views
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)-1211views
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=-3(x-2)^2+1193views
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|+3243views
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|245views
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=2√x+1216views
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| - 2240views
Textbook QuestionGraph each function. See Examples 6–8 and the Summary of Graphing Techniques box following Example 9. ƒ(x)=3√x-2233views
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|241views
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|+2211views
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. 225views
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|708views
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)^3270views
Textbook QuestionLet ƒ(x) = 3x -4. Find an equation for each reflection of the graph of ƒ(x). across the x-axis366views
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) = -x³217views
Textbook QuestionLet ƒ(x) = 3x -4. Find an equation for each reflection of the graph of ƒ(x). across the y-axis204views
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. 253views
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) +3231views
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)251views
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) - 2372views
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 +1218views
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)|337views
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+2432views
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)743views
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)221views
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) - 2302views
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)351views
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| +2412views