Precalculus Examples

$(y - 3) = 4 {(x - 2)}^{2}$

Step 1

Add $3$ to both sides of the equation.

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

Step 2

Use the vertex form, $y = a {(x - h)}^{2} + k$ , to determine the values of $a$ , $h$ , and $k$ .

$a = 4$

$h = 2$

$k = 3$

Step 3

Find the vertex $(h, k)$ .

$(2, 3)$

Step 4