Question

Explain how the function compares to the parent function, f(x).

4f(x+7)
4
f
x
+
7
Question 1 options:

vertical stretch by factor of 4, left 7 units


vertical stretch by factor of 4, up 7 units


vertical stretch by factor of 4, down 7 units


vertical stretch by factor of 4, right 7 units

Answer 1

Check the picture below.

`\stackrel{parent}{f(x)=x}\qquad \qquad \stackrel{transformed}{\stackrel{A}{4}(\stackrel{B}{1} x\stackrel{C}{+7})+\stackrel{D}{0}}\qquad \implies 4(x+7)`

is not really a stretch per se, more like a shrinkage, by a factor of 4 and moves to the left by 7