A function g is given. Identify the parent function. Then use the steps for graphing multiple transformations of function 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 a.) parent function :f(x)=x2; Shift the graph function of f to the left 1.3 units, stretch the graph vertically by a factor of 5, and shift the graph downward by 2.5 units. b.) parent function:f(x)=x2; shift the graph of f to the leftb1.3 units, shrink the graph vertically by a factor of 1/5 , and shift the graph downward by 2.5 units.  c.) parent function: f(x)=x2; shift the graph of f to the right 1.3 units, shrink the graph vertically by a factor of 1/5, and shift the graph upward by 2.5 units.  d.) parent function:f(x)=x2; shift the graph of f to the right 1.3 units, stretch the graph vertically bu a factor of 5 and shift the graph upward by 2.5 units.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 3DE
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A function g is given. Identify the parent function. Then use the steps for graphing multiple transformations of function 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

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

b.) parent function:f(x)=x2; shift the graph of f to the leftb1.3 units, shrink the graph vertically by a factor of 1/5 , and shift the graph downward by 2.5 units. 

c.) parent function: f(x)=x2; shift the graph of f to the right 1.3 units, shrink the graph vertically by a factor of 1/5, and shift the graph upward by 2.5 units. 

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

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