The vertex of this parabola is at (-3, 6). Which of the following could be its equation?

A. y = -3(x + 3)2 + 6
B. y = -3(x + 3)2 - 6
C. y = -3(x - 3)2 + 6
D. y = -3(x - 3)2 - 6

nice, already in vertex form
y=a(x-h)^2+k
(h,k) is vertex

therfor since (-3,6) is vertex
we are looking for something like
y=a(x-(-3))^2+6 simplified to
y=a(x+3)^2+6

A is ansre

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SchwarzschildRadius SchwarzschildRadius · Answer 2 · 2016-05-20T08:30:09+02:00

SchwarzschildRadius SchwarzschildRadius

20-05-2016

So,

The vertex form of a parabola is:

[tex]y=a(x-h)^2+k[/tex]

and the vertex is at (h,k).

Thus, the equation will have to look something like this:

[tex]y=a(x+3)^2+6[/tex]

Only option A matches these criteria, so is must be the correct option.

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The vertex of this parabola is at (-3, 6). Which of the following could be its equation? A. y = -3(x + 3)2 + 6 B. y = -3(x + 3)2 - 6 C. y = -3(x - 3)2 + 6 D. y = -3(x - 3)2 - 6

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The vertex of this parabola is at (-3, 6). Which of the following could be its equation?

A. y = -3(x + 3)2 + 6
B. y = -3(x + 3)2 - 6
C. y = -3(x - 3)2 + 6
D. y = -3(x - 3)2 - 6