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Answered

The standard form of the equation of a parabola is x = y2 - 4y + 20.

What is the vertex form of the equation?

Ax = (y - 4)2 + 4
Bx = (y - 2)2 + 16
Cx = (y - 2)2 + 4
Dx = (y - 4)2 + 12

Verified Answer :

Neuron

If you would like to find the vertex form of the equation, you can calculate this using the following steps:

x = y^2 - 4 * y + 20
x = (y - 2)^2 - 4 + 20
x = (y - 2)^2 + 16

The correct result would be B. x = (y - 2)^2 + 16.

Answer:

The correct option is B.

Step-by-step explanation:

The given equation is

\(x=y^2-4y+20\)

It can be written as

\(x=(y^2-4y)+20\)

Add and subtract \((-\frac{b}{2a})^2\) in the parenthesis.

\((-\frac{b}{2a})^2=(\frac{-4}{2(1)})^2=(-2)^2=4\)

Add and subtract 4 in the parentheses.

\(x=(y^2-4y+4-4)+20\)

\(x=(y^2-4y+4)-4+20\)

\(x=(y+2)^2+16\)

Therefore option B is correct.

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