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F(x) = (x+2)^2+4 . what are the coordinates of the vertex?

User Euccas
by
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1 Answer

6 votes

Answer:


(-2,\, 4).

Explanation:

To find the vertex of this parabola, start by rewriting it in the vertex form
f(x) = a\, (x - h)^2 + k.

Start with the original expression:


f(x) = (x + 2)^2 + 4.

Note that in the vertex form, the sign in front of
h should be a minus. However, in
f(x) = (x + 2)^2 + 4, the sign in front of
2 is a plus. Since adding


f(x) = (x - (-2))^2 + 4.

Therefore:


  • h = -2,

  • k = 4.

Hence,
(-2,\, 4) is the vertex of this parabola.

User PeterHe
by
8.0k points

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