What is the equation of the parabola in vertex form? 0=y2 - x - 4y+ 3 갈 2 O A. (x+12) = (y-4) f O B. (x – 3) =(y-2) OC O c. (x+1)=(y-2) O d. (x - 1)=(y+2)

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asked Mar 23, 2023 222k views

1 Answer

Dooltaz · Answer 1 · 2023-03-28T21:46:08+0000

Given equation:

The general expression for a parabola equation in vertex form:

$y^2\text{ =4ax}$

Where the axis of the parabola is the x-axis and the origin is zero

Writing the equation in vertex form takes the following steps:

1. Re-arrange the equation:

$\begin{gathered} y^2-x-4y+3\text{ = 0} \\ y^2-4y\text{ - x + 3 = 0} \end{gathered}$

Factoring out:

$(y-2)^2-4\text{ -x + 3 = 0}$

Re-arranging further:

$(y-2)^2\text{ = (x+1)}$

Hence, the equation of the parabola is Option C