Find the Vertex -(t-7)^2+4

$- {(t - 7)}^{2} + 4$

Step 1

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

$y = - {(x - 7)}^{2} + 4$

Step 2

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

$a = - 1$

$h = 7$

$k = 4$

Step 3

Find the vertex $(h, k)$ .

$(7, 4)$

Step 4