Write the parabolic equation in the form $y=a(x-h)^2+k$ with the following information

Question

It's been a while since I've done this, and I've forgotten the first steps. Any hints/pointers in the right direction would be greatly appreciated.

Write the equation for the parabola in the form $y=a(x-h)^2+k$ with the following information: Congruent to $y=\frac{1}{2}x^2$; minimum value of $-5$, equation of axis of symmetry $x=-8$.

score 1 · Accepted Answer · answered Aug 29 '17 at 00:35

1

Hints:

$y = a (x-h)^2 +k \ge k$ when $a>0$.

The axis of symmetry is $x = h$.

answered Aug 29 '17 at 00:35

Math Lover

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So 1/2 is the a value, -5 is the k value and -8 would be the h value, which would make the answer be y=1/2(x+8)^2-5? – Grimestock Aug 31 '17 at 05:48
@Grimestock Yes, you are right. – Math Lover Aug 31 '17 at 16:29
Thank you for your help! – Grimestock Sep 01 '17 at 04:52

Write the parabolic equation in the form $y=a(x-h)^2+k$ with the following information

1 Answers1