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Arte-miy333 [17]
2 years ago
12

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

Mathematics
1 answer:
Natali [406]2 years ago
7 0

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

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