SOLUTION: Determine the y-intercept of the given function: f(x)=-2(x-2)(x-1)^2(x+2)^3 a). (0,-32) b). (-32,0) c). (32,0) d). (0,32)

Algebra ->  Graphs -> SOLUTION: Determine the y-intercept of the given function: f(x)=-2(x-2)(x-1)^2(x+2)^3 a). (0,-32) b). (-32,0) c). (32,0) d). (0,32)      Log On


   

Question 148849: Determine the y-intercept of the given function:
f(x)=-2(x-2)(x-1)^2(x+2)^3
a). (0,-32)
b). (-32,0)
c). (32,0)
d). (0,32)
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I don't understand your equation. I don't think it's my fault.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To find the y-intercept, simply plug in x=0

f%28x%29=-2%28x-2%29%28x-1%29%5E2%28x%2B2%29%5E3 Start with the given function.


f%280%29=-2%280-2%29%280-1%29%5E2%280%2B2%29%5E3 Plug in x=0


f%280%29=-2%28-2%29%28-1%29%5E2%282%29%5E3 Combine like terms.


f%280%29=-2%28-2%29%281%29%288%29 Expand.


f%280%29=32 Multiply.

So when x=0, then y=32. So the y-intercept is (0,32)