A function g is given. Identify the parent function. Then use the steps for graphing multiple transformations of functions to list, in order, the transformations applied to the parent function to obtain the graph of g.   g(x) =1/5 (x + 1.3)2 - 2.5 Select one: a. Parent function: f (x) = x2; Shift the graph of f to the right 1.3 units, stretch the graph vertically by a factor of 5, and shift the graph upward by 2.5 units. b. Parent function: f (x) = x2; Shift the graph of f to the left 1.3 units, shrink the graph vertically by a factor of , and shift the graph downward by 2.5 units. c. Parent function: f (x) = x2; Shift the graph of f to the left 1.3 units, strech the graph vertically by a factor of 5, and shift the graph downward by 2.5 units. d. Parent function: f (x) = x2; Shift the graph of f to the right 1.3 units, shrink the graph vertically by a factor of , and shift the graph upward by 2.5 units.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.5: Transformations Of Linear Functions
Problem 61PFA
Question

A function g is given. Identify the parent function. Then use the steps for graphing multiple transformations of functions to list, in order, the transformations applied to the parent function to obtain the graph of g.

 

g(x) =1/5 (x + 1.3)2 - 2.5

Select one:

a. Parent function: f (x) = x2; Shift the graph of f to the right 1.3 units, stretch the graph vertically by a factor of 5, and shift the graph upward by 2.5 units.

b. Parent function: f (x) = x2; Shift the graph of f to the left 1.3 units, shrink the graph vertically by a factor of , and shift the graph downward by 2.5 units.

c. Parent function: f (x) = x2; Shift the graph of f to the left 1.3 units, strech the graph vertically by a factor of 5, and shift the graph downward by 2.5 units.

d. Parent function: f (x) = x2; Shift the graph of f to the right 1.3 units, shrink the graph vertically by a factor of , and shift the graph upward by 2.5 units.

 
 
 
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