Question

Which of the following equations is of a parabola with a vertex at (0, -5)?

y = x2 - 5
y = x2 + 5
y = ( x + 5) 2
y = ( x - 5) 2

Answer 1

y = (x-h)^2 + k

where (h, k) is the vertex

Answer 2

so they told you that your vertex is (0, -5)

replace h with 0
and replace k with -5

what do you get?

Answer 3

y = ( x - 5) 2

Answer 4

h is 0
k is -5

y = (x - h)^2 + k

Answer 5

Do you need colors?

\(\large\color{red}{h}\) is \(\color{red}{0}\)
\(\large\color{orange}{k}\) is \(\color{orange}{-5}\)

\( y = (x - \color{red}{h})^2 + \color{orange}{k}\)

Answer 6

x^2-5

Answer 7

That's much better, Kyle!

Answer 8

thanks bro

Answer 9

No problem! Hopefully the colors helped you see where what should go where