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A parabola with vertex (h, k) and a vertical axis of symmetry is modeled by the equation y - k = a(x - h)2. Determine the vertex for a parabola modeled by y = (x ? 5)2 + 8 A) (5, 8) B) (?5, 8) C) (5, ?8) D) (?5, ?8)

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4 votes

Answer:

B.
(?5,8)

Explanation:

We have been given a parabola with vertex (h, k) and a vertical axis of symmetry is modeled by the equation
y-k = a(x-h)^2.

We are also given a parabola
y=(x?5)^2+8.

Let us convert our given parabola equation in axis of symmetry equation as shown below:


y=(x?5)^2+8


y-8=(x?5)^2+8-8


y-8=1(x?5)^2

Upon comparing our equation with equation
y-k = a(x-h)^2, we can see that
h=?5 and
k=8.

Therefore, the vertex of the parabola is
(?5,8) and option B is the correct choice.

User Gerard
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