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dolphi86 [110]
3 years ago
8

What are the coordinates of the vertex of the function f(x) = x2 - 12x + 5?

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

The vertex is the point (6,-31)

Step-by-step explanation:

we have

f(x)=x^2-12x+5

This is a vertical parabola open upward

The vertex represent a minimum

Convert to vertex form

Complete the square

f(x)=(x^2-12x+6^2)+5-6^2

f(x)=(x^2-12x+36)-31

Rewrite as perfect squares

f(x)=(x-6)^2-31 -----> equation in vertex form

therefore

The vertex is the point (6,-31)

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