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Answer in Algebra for atta #110579

Author:
February 20th, 2023

1) If the graph of  “y=f(x)”  is translated “a” units horizontally and “b” units vertically, then the equation of the translated graph is  “y-b=f(x-a).”

“y-0=(x-2)^2+3(x-2)+4”

“y=x^2-4x+4+3x-6+4”

“y=x^2-x+2”

2) We start with the graph of “y=f(x).” The graph of “g(x)=f(-x)” is the graph of “y=f(x)” reflected in the “y” -axis . How points in graph of “f(x)” become points of new graph “g(x)” ?

“(a,b)to(-a,b)”

Visual effect: flip over the “y” -axis

The graph of “h(x)=3g(x)=3f(-x)” is the graph of “y=g(x)” stretched vertically by “3” units.

How points in graph of “g(x)” become points of new graph “h(x)”?

“(-a,b)to(-a,3b)”

Visual effect: stretch vertically by “3.”

How points in graph of “y=f(x)” become points of new graph “y=3f(-x)”?

“(a,b)to(-a,3b)”

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