654321-5 -4-3-2-115 6-123-2-3-4-5The graph above is a transformation of the function f(x) = |x|Write an equation for the function graphed aboveg(x) =

Step 1: Understand the Basic The general form of an absolute value function is: y=a∣x−h∣+k• h:…

Answered: 6 5 4 3 2 1 -5 -4-3-2-1 1 5 6 -1 23 -2…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 20E

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What is the advantage of knowing how to recognizetransformations of the graph of a parent functionalgebraically?
Describe a) the parent function b) the transformation /shifts that happen g(x) = -2(x-2)2+4 |
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Describe how the function f(x) = -(x+6)2-4 can can be graphed using the graph of y=x and a sequence of transformations. The function f(x) = -(+6)2-4 can be graphed by reflecting y = z² about the y = x² to the Click for List Number unit and Click for List Click for List Number units. shifting
Refer to the graph of the function f in the following figure. = 65 5 -2* (a) Find f(0). f(0) 4 3- 2- 1+ X = (i) f(x) = 3 X = (ii) f(x) = 0 X (b) Find the value of x for which f(x) = 3 and f(x) = 0. X 4 X y = f(x) 5 X
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Shown to the right are two functions. The dashed graph, in red, is the parent function p(x). The vertical intercept of p(x) is (0, 2). 8- 구 5- The solid graph, in blue, is the child function c(x). The vertical intercept of c(x) is (0, –1). 4 (a) Use the pull down menus to describe the transformation. (b) Find a formula for the child function c(x) in terms of the 4. parent function p(x). -8 -7 -6 -5 -4 -3 -2 P 3 4 5 6 7 8 (a) The graph of c(x) is a |of the graph Click for List of p(x) by a factor of Number followed by a -4- Click for List by Number units. -5 -6 (b) с (x) -7 (Your formula involves p(x).) -8 - y = p(x) y = c(x)
graph
(a) Graph each of the following functions on the same screen, using the viewing rectangle [0, 1, 0.2] × [0, 1, 0.2]. y = x y = x² y = x³ y = x² y = x³ (b) Describe, in complete sentences, the pattern you see in your results in part (a). On the basis of your results in part (a), draw (by hand) a sketch of what you think the graph of y = x 100 must look like in this interval. Then use a graphing utility to see how accurate your sketch was.

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6 5 4 3 2 1 -5 -4-3-2-1 1 5 6 -1 23 -2 -3 -4 -5 The graph above is a transformation of the function f(x) = |x| Write an equation for the function graphed above g(x) =