What are the coordinates of the vertex of a parabola whose equation is y−4=2(x+7)2 ?
Question 5 options:
a) (7, -4)
b) (-7, 4)
c) (4, -7)
b) (-4, 7)

Respuesta :

The answer is b) (-7, 4)

The coordinate of the vertex of the parabola y - 4 = 2(x+7)² is (-7,4)

The coordinate of the vertex?

The equation of the parabola is given as:

y - 4 = 2(x+7)²

Add 4 to both sides

y = 2(x+7)² + 4

A parabola is represented as:

y = a(x- h)² + k

Where, the vertex is:

vertex = (h,k)

By comparison, we have:

Vertex = (-7,4)

Hence, the coordinate of the vertex is (-7,4)

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