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

Answer:

C) $y=x^2+8$

Step-by-step 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:

$y=x^2+8$