SOLUTION: Graph the quadratic function {{{ f(x)=-x^2+2x+15 }}}; state the ordered pairs representing the x-intercept(s), y-intercept (if any), and the vertex of the parabola.

SOLUTION: Graph the quadratic function {{{ f(x)=-x^2+2x+15 }}}; state the ordered pairs representing the x-intercept(s), y-intercept (if any), and the vertex of the parabola.

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Question 367505: Graph the quadratic function ; state the ordered pairs representing the x-intercept(s), y-intercept (if any), and the vertex of the parabola.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

To find the y-intercept set x=0 and solve for f(x):

y-intercept is at (0, 15)
.
To find the x-intercept set f(x)=0 and solve for x:

x = {-3, 5}
x-intercepts are at (-3,0) and (5,0)
.
Vertex:
x-coordinate:
x = -b/(2a) = -(2)/(2*(-1)) = -2/(-2) = 1
y-coordinate:

vertex is at (1, 16)

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