Question

Which statement describes the effect on the parabola y = x2 - 1 when it is changed to y = x2 +6?

Answer 1

Initial:

$y=x^2-1$

Changed to:

$y=x^2+6$

As you can see the change is: from -1 to +6.

In a equation as follow:

$y=x^2+k$

The k is a transformation that moves up or down the graph of the function. If k is changed to a less value the graph moves down, If k is changed to a greather number the graph moves up.

In this case the graph moves up

To find the number of units the graph moves find the difference betwwen values of k:

$6-(-1)=7$

Then, the parabola y=x²-1 is moved 7 units up when it is changed to y=x²+6