SOLUTION: it says,"Sketch the graphs using the roots to find the function and the turning point." x=-8, x=4 x=-3, x=3

Algebra ->  Test -> SOLUTION: it says,"Sketch the graphs using the roots to find the function and the turning point." x=-8, x=4 x=-3, x=3      Log On


   

Question 681993: it says,"Sketch the graphs using the roots to find the function and the turning point."
x=-8, x=4
x=-3, x=3
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Given the roots of -8 and 4; Plot (-8,0) and (4,0)
(x+8) and (x-4) = 0
(x+8)(x-4)=0
x%5E2-4x+%2B+8x+-+32=0
f(x) = x%5E2+%2B+4x+-+32
...
complete the square to find the turning point
x%5E2+%2B+4x+=+32
x%5E2+%2B+4x+%2B+4+=+32+%2B+4
(x+2)^2 = 36
y = (x+2)^2 - 36
vertex/turning point of (-2,-36)
...
graph%28300%2C200%2C-10%2C10%2C-40%2C20%2Cx%5E2%2B4x-32%29
...
Using roots of -3 and 3; Plot (-3,0) and (3, 0)
(x+3) and (x-3)
(x+3)(x-3)=0
x%5E2%2B3x-3x-9=0
f(x) = x%5E2-9
...
turning point (0,-9)
...
graph%28300%2C200%2C-10%2C10%2C-15%2C10%2Cx%5E2-9%29
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