Question

The vertex form of the equation of a parabola is x = 8(y - 1)2 - 15.What is the standard form of the equation?
A:x = 8y^2 - 16y - 7
B.x = 16y^2 - 2y - 16
C.x = 8y^2 - 4y + 32
D.x = 16y^2 - 4y + 32

Answer 1

just expand

x=8(y-1)^2-15
x=8(y-1)(y-1)-15
x=8(y²-2y+1)-15
x=8y²-16y+8-15
x=8y²-16y-7

A is answer

Answer 2

The standard form of the equation is x = 8y²-16y-7

What is Parabola?

A parabola is a U-shaped curve this represents for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

The vertex form of a parabola:

x = 8(y-1)²-15

x = 8(y²-2y+1²)-15

x = 8(y²-2y+1)-15

x = 8y²-16y+8-15

x = 8y²-16y-7

So, this is standard form of parabola.

Learn more about parabola here:

brainly.com/question/4074088

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