SOLUTION: Find the x-intercepts and y-intercepts. {{{f(x)=-x^2+2x+48}}}

Algebra ->  Graphs -> SOLUTION: Find the x-intercepts and y-intercepts. {{{f(x)=-x^2+2x+48}}}      Log On


   

Question 394688: Find the x-intercepts and y-intercepts.
f%28x%29=-x%5E2%2B2x%2B48
Found 2 solutions by ewatrrr, jrfrunner:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

f%28x%29=-x%5E2%2B2x%2B48

Finding the x-intercepts when f(x) = 0

 -(x^2 - 2x -48) = 0   |factoring

  (x-8)(x+6) = 0   x-intercepts are (8,0) and (-6,0)

Finding the y-intercept when x = 0

 f%28x%29=+48     y-intercepts 1s (0,48)

Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
Find the x-intercepts and y-intercepts.
f%28x%29=-x%5E2%2B2x%2B48
--
x intercepts occur when y=0
0=-x%5E2%2B2x%2B48
0=x%5E2-2x-48
0=(x+6)*(x-8); x=-6 or x=8
(-6,0), (8,0)
--
Y intercepts occur when x=0
y=-0%5E2%2B2%2A%280%29%2B48=48
(0,48)