Dynasia B.

asked • 10/31/22

A parabola opening up or down has vertex (6,2) and passes through 9, 11 4 . Write its equation in vertex form.

Brenda D.

tutor
Dynasia B I have a question where you have in your information, “passes through 9, is it (9,11) or (9,114)? I ask because there appears to be a space between 11 and 4, just wanted clarity on whether it is 114 or 11/4 as part of your (x,y) coordinates you need to solve for a in the vertex form. You can check and confirm the information with a graph.
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10/31/22

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Joseph G. answered • 10/31/22

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Graduate Student and Substitute Teacher / B.A. in Chemistry (3.85 GPA)

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Vertex form of a parabola is y = a(x-h)2 + k, where (h, k) is the vertex.

So, plugging in (6, 2) we get y = a(x-6)2 + 2

Now all you have to do is find the "a" value and replace it in the formula. You can use the other point to find "a" by plugging in the x and y coordinates (x = 9 and y = 114) into this equation and solving for a:

114 = a(9-6)2 + 2

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