Algebra Examples

${(t - 5)}^{2} - 9$

Step 1

Rewrite the equation in terms of $x$ and $y$ .

$y = {(x - 5)}^{2} - 9$

Step 2

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

$a = 1$

$h = 5$

$k = - 9$

Step 3

Find the vertex $(h, k)$ .

$(5, - 9)$

Step 4