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Alika [10]
3 years ago
5

Give the vertex for the quadratic function: f (x) = (x – 3) (x + 7)​

Mathematics
1 answer:
KatRina [158]3 years ago
5 0

Answer:

Vertex = (-2,-25)

Step-by-step explanation:

Given

f(x) = (x - 3)(x + 7)

Required

The vertex

f(x) = (x - 3)(x + 7)

Open bracket

f(x) = x^2 -3x+7x-21

f(x) = x^2 +4x-21

Express -21 as 4 - 25

f(x) = x^2 +4x+4-25

Group as:

f(x) = (x^2 +4x+4)-25

Factorize the expression in bracket

f(x) = (x+2)^2-25

The vertex form is:

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

Where the vertex is:

Vertex = (h,k)

Vertex = (-2,-25)

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