Question

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.

An algebra tile configuration. Only the Product spot is shown. 9 tiles are in the Product spot: 1 + x squared, 2 negative x, 6 negative.

What is this function written in vertex form?

f(x) = (x –1)2 – 7
f(x) = (x +1)2 – 7
f(x) = (x –1)2 – 5
f(x) = (x +1)2 – 5

Answer 1

f(x) = (x − 1)^2 − 7

Work: x^2 − 2x − 6 = (x^2 − 2x + 1) − 1 − 6 = (x − 1)^2 − 7. The vertex is (1, −7).