# Thread: Help me out with this problem

1. ## Help me out with this problem

y+2x = 4x^2

What are the coordinates of the vertex?

2. Originally Posted by rdoria91

y+2x = 4x^2

What are the coordinates of the vertex?

$y + 2x = 4x^2$

$y = 4x^2 - 2x$

Complete the square:
$y = 4 \left ( x^2 - \frac{1}{2}x \right )$

$y = 4 \left ( x^2 - \frac{1}{2}x + \frac{1}{16} \right ) - 4 \cdot \frac{1}{16}$

$y = 4 \left ( x - \frac{1}{4} \right )^2 - \frac{1}{4}$

What is the vertex point?

-Dan