The vertex form of the equation of a parabola is y= 2(x + 4)2- 21.
What is the standard form of the equation?
O A. y = 2x2 + 12x+17
O B. y = 4x2 + 4x + 9
O c. x = 2y2 + 5y + 17
O D. y = 2x2 + 16x+11

Respuesta :

Answer:

D. y = 2x2 + 16x+11

Step-by-step explanation:

this is the correct answer, the person above me is incorrect!!

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The standard form of the equation y = 2x² + 16x 11. Then the correct option is D.

What is the parabola?

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The vertex form of the equation of a parabola is y = 2(x + 4)² – 21.

Expand the equation, we have

y = 2(x + 4)² – 21

y = 2(x² + 16 + 8x) – 21

y = 2x² + 32 + 16x – 21

y = 2x² + 16x 11

Then the correct option is D.

More about the parabola link is given below.

https://brainly.com/question/8495504

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