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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an
(x,y) point.

y=-x^(2)-7
Answer:

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an $(x, y)$ point. $\newline$ $y=-x^{2}-7$ $\newline$ Answer:

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Find the roots of factored polynomials

Full solution

Q. Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an

(x, y)

point.

\newline

y=-x^{2}-7

\newline

Answer:

Identify Vertex Form: The vertex form of a parabola is $y = a(x - h)^2 + k$ , where $(h, k)$ is the vertex of the parabola. To find the vertex of the parabola $y = -x^2 - 7$ , we need to identify the values of $h$ and $k$ . Since the equation is already in the form $y = a(x - h)^2 + k$ , with $a = -1$ , $h = 0$ , and $k = -7$ , we can directly read off the vertex as $(h, k)$ .
Determine Values: The vertex of the parabola $y = -x^2 - 7$ is $(0, -7)$ because there is no horizontal shift ( $h = 0$ ) and the vertical shift ( $k$ ) is $-7$ .

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