What is the function g(x) created from f(x) = x^2 by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units?

Given:

The parent function is

We need to determine the function g(x) created from the function f(x) by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units.

Shift left 9 units:

The rule to shift the graph c units to the left is given by

where c is the positive real number.

Hence, to shift the graph 9 units to the left is given by

Vertical stretch by a factor of 4:

The rule to stretch the graph vertically by a factor of c is given by

where

Hence, to stretch the graph vertically by a factor of 4, we have;

Shifting 5 units up:

The rule to shift the graph c units upward is given by

where c is the positive real number.

Hence, to shift the graph 5 units upward is given by

Therefore, the function is created from the graph by moving the graph left 9 units, vertically stretching it by a factor of 4 and shifting up 5 units.

Hence, the graph g(x) is

4 + 5 7/9= 9 7/9

step-by-step explanation:

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk