Question

3) The graph of the equation y = x2 + 1 is shown. Which equation will shift the graph up 7 units? A) y = x2 + 7 B) y = x2 - 8 C) y = x2 + 8 D) y = (x+7)2

Answer 1

your answer is C. (1+7=8)

Answer 2

C)
`y=x^2+8`

Explanation:

the function

`y=x^2+1`

Is a parabola that crosses the y-axis at
`+1`.

So in a function of the form:
`y=x^2+a`, the number
`a` indicates the point at which the graph of the function crosses the y-axis.

So, to find a function that is 7 units above, we need to add 7 to the number
`a`.

In this case
`a = + 1`

so adding 7:

`+ 1 + 7 = + 8`

So the resulting function, which is 7 units above is:

`y=x^2+8`