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

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl