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3241004551 [841]
2 years ago
9

What are the coordinates of the vertex of the parabola described by the equation below? y=7(x+5)^2-4

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
4 0

Answer:

y= 7(x+5)^2 -4

The vertex form for a parabola is given by this expression:

y = a(x-h)^2 +k

By direct comparison we see that for this case:

a = 7, h = -5 and k=-4

And we know from the general expression that the vertex is:

V= (h,k)

So then the vertex for this case is:

V= (-5,-4)

Step-by-step explanation:

For this case we have the following function:

y= 7(x+5)^2 -4

And we need to take in count that the vertex form for a parabola is given by this expression:

y = a(x-h)^2 +k

By direct comparison we see that for this case:

a = 7, h = -5 and k=-4

And we know from the general expression that the vertex is:

V= (h,k)

So then the vertex for this case is:

V= (-5,-4)

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