Question

Which function transforms the graph of the parent function f(x) =2x by reflecting it across the y axis and translating it up 5 units

Answer 1

Start with

$f(x)=2x$

Reflecting across the y axis means to swap x with -x, so you have

$f(x)=2(-x)=-2x$

Translating up 5 units means to add 5 to the function, so you have

$f(x)=-2x+5$