Question

Complete the square to re-write the quadratic function in vertex form:
y = x2 – 7x - 6

Answer 1

y = (x - 3.5)^2 - 18.25

Explanation:

y = x^2 – 7x - 6

y = (x^2 – 7x) - 6

y = (x^2 – 7x + 3.5^2 - 3.5^2) - 6

y = (x^2 – (2)(3.5)x + 3.5^2) - 3.5^2 - 6

y = (x - 3.5)^2 - 3.5^2 - 6

y = (x - 3.5)^2 - 18.25