Write the equation for the transformation of the graph y=f(x) translated 3 units up, reflected across the y-axis

For this, think of the acronyms HIO and VOS

H, horozontal (movement)

I, inside (parenthesis)

O, opposite (sign)

and

V, verticle (movement)

O, outside (parenthesis)

S, same (sign)

To solve

f(x) is Y

f(x)= f(x) A vertivle translation 3 units up use VOS

f(x)=f(x+3)

f(x+3) A reflection across the y-axis, use HIO

f(x)=f(-x+3)

The final function is fx=f(-x+3)

if you need any extra help, i'd be glad to explain in the comments section

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