Rewrite the quadratic function in vertex form.

Y=3x^2-12x+4

y = 3 (x - 2) ² - 8

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a (x - h) ² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

• The coefficient of the x² term must be 1

Factor out 3 from the first 2 terms

y = 3 (x² - 4x) + 4

• add/subtract (half the coefficient of the x - term) ² to x² - 4x

y = 3 (x² + 2 ( - 2) x + ( - 2) ² - ( - 2) ²) + 4 ← complete the square

y = 3 (x - 2) ² - 12 + 4

y = 3 (x - 2) ² - 8 ← in vertex form

y=3 (x-2) ^2-8 I'm pretty sure