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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 83E
Question

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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