Use a method of completing the square in order to rewrite the function f (x) = x^2+5x-2 in vertex form, f (x) = a (x-h) ^2+k where (h, k) is the vertex of the parabola.

Question

Mathematics

Nyla Berger

20 February, 00:15

Use a method of completing the square in order to rewrite the function f (x) = x^2+5x-2 in vertex form, f (x) = a (x-h) ^2+k where (h, k) is the vertex of the parabola.

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Meyer · Answer 1

f (x) = x² + 5x - 2

f (x) + 2 = x² + 5x - 2 + 2

f (x) + 2 = x² + 5x

f (x) + 2 = x (x) + x (5)

f (x) + 2 = x (x + 5)

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

(h, k) = (-5, 2)