Answer asap if u know the completing a square.

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Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

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

To obtain this form using the method of completing the square.

Given

f(x) = 3x² - 24x + 10

We require the coefficient of the x² term to be 1 , thus factor out 3

3(x² - 8x) + 10

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

= 3(x² + 2(- 4)x + 16 - 16) + 10

= 3(x - 4)² + (3 × - 16) + 10

= 3(x - 4)² - 48 + 10

= 3(x - 4)² - 38, thus

f(x) = 3(x - 4)² - 38 ← in vertex form

step-by-step explanation: