Algebra Examples

$y = \frac{2}{3} {(x - 4)}^{2} + 1$

Step 1

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

$a = \frac{2}{3}$

$h = 4$

$k = 1$

Step 2

Find the vertex $(h, k)$ .

$(4, 1)$

Step 3