# How do you find the x and y intercepts for f(x)=-x^2+7x+18?

May 21, 2018

y-intercept: $y = 18$

x-intercepts: $x = 9 , x = - 2$

#### Explanation:

in the form $a {x}^{2} + b x + c$ the y-intercept is $c$ so in your function:

$f \left(x\right) = - {x}^{2} + 7 x + 18$

$\text{y-int} = 18$

to find the x-intercept(s) if there are any, we need to factor and find our roots or solutions:

$- {x}^{2} + 7 x + 18 = 0$
$- \left(x + 2\right) \left(x - 9\right) = 0$

$x = 9 , x = - 2$