Question

if the linear parent function has a vertical compression of 2/3, which of the following equations shows this transformation?

Answer 1

The parent function is the easier way to write the equation, so for a line is:

$y=x$

now we know that if the constant next to x is:

a > 1 then the graph will be stretched.

if 0 < a < 1 then the graph will be compressed.

and if a < 1 then there will be combination of a vertical stretch or compression with a vertical reflection.

this means that the answe is F because 2/3 is between 0 and 1 so the correct form is:

$y=\frac{2}{3}x$