Question

The graph of f(x)=x^2
was transformed to create the graph of g(x)=8(x+5)^2. Complete the sentence.



The graph of g(x) shows

_____ by a factor of _______

_______ by _____ units.

Answer 1

Would you be able to post the answer choices below?

Answer 2

This problem uses the idea of a ` vertex form `
The vertex form of a parabola is as follows: ` y = a(x - h)^2 + k `
where ` a ` is how much it stretches or shrinks
` h ` is how much right or left it moves/shifts
` k ` is how much up or down is moves/shifts

We can see in your problem that ` y = 8(x + 5)^2 `
means that
` a = 8 `
and
` h = -8 `

With how I defined the meanings, you should be able to figure our your options - but if you are still stuck, just let me know