Algebra Examples

- {(r + 9)}^{2} + 36

$- {(r + 9)}^{2} + 36$

Step 1

Rewrite the equation in terms of

x

$x$ and

y

$y$ .

y = - {(x + 9)}^{2} + 36

$y = - {(x + 9)}^{2} + 36$

Step 2

Use the vertex form,

y = a {(x - h)}^{2} + k

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

a

$a$ ,

h

$h$ , and

k

$k$ .

a = - 1

$a = - 1$

h = - 9

$h = - 9$

k = 36

$k = 36$

Step 3

Find the vertex

(h, k)

$(h, k)$ .

(- 9, 36)

$(- 9, 36)$

Step 4

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$