Question

Need help please this question is very confusing i would love some help

Answer 1

Answer:

D

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

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

here (h, k) = (- 3, - 6), thus

y = a(x + 3)² - 6

To find a substitute (0, 0) into the equation

0 = 9a - 6 ⇒ a = $\frac{6}{9}$ = $\frac{2}{3}$

y = $\frac{2}{3}$(x + 3)² - 6 ← in vertex form

Expand (x + 3)² and distribute by $\frac{2}{3}$

y = $\frac{2}{3}$(x² + 6x + 9) - 6

  = $\frac{2}{3}$ x² + 4x + 6 - 6

  = $\frac{2}{3}$ x² + 4x  ← in standard form