Question

Need help one these two equations

Answer 1

Question 1

To shift
`2` units left,
`f(x) \to f(x+2)`.

`y=2(x+2)+1=2x+4+1=2x+5 \implies \boxed{y=2x+5}`

Question 2

A vertical stretch by a factor of 2 means
`f(x) \to 2f(x)`.

`y=2\left|-(1)/(2)x+4 \right|=\left|2\left(-(1)/(2)x+4 \right)\right|=|-x+8|=|x-8| \implies \boxedy=`