Question

Write y=3x^2-12x+11 in vertex form.

Answer 1

y = 3(x – 2)² – 1

Explanation:

Standard form: y = 3x² – 12x + 11

To convert to vertex form:

y = 3x² – 12x + 11

y = 3(x² – 4x) + 11

y = 3(x² – 4x + 4) + 11 – 12

y = 3(x – 2)² + 11 – 12

y = 3(x – 2)² – 1