SOLUTION: let f(x)=(-1/2)X^2-3X+(5/2) a. y intercept b. x intercept c. axis of symmetry d. vertex f. sketch THANK YOU!!!

Algebra ->  Coordinate-system -> SOLUTION: let f(x)=(-1/2)X^2-3X+(5/2) a. y intercept b. x intercept c. axis of symmetry d. vertex f. sketch THANK YOU!!!      Log On


   

Question 994328: let f(x)=(-1/2)X^2-3X+(5/2)
a. y intercept
b. x intercept
c. axis of symmetry
d. vertex
f. sketch
THANK YOU!!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-%281%2F2%29x%5E2-3x%2B5%2F2
f%28x%29=-%281%2F2%29%28x%5E2%2B6x%29%2B5%2F2
f%28x%29=-%281%2F2%29%28x%5E2%2B6x%2B9%29%2B5%2F2%2B%281%2F2%299
f%28x%29=-%281%2F2%29%28x%2B3%29%5E2%2B7
So the vertex is (-3,7) and the axis of symmetry is x=-3.
To get the y-intercept, set x=0.
y=5%2F2
(0,5%2F2)
To get the x-intercepts, set y=0.
0=-%281%2F2%29%28x%2B3%29%5E2%2B7
%281%2F2%29%28x%2B3%29%5E2=7
%28x%2B3%29%5E2=14
x%2B3=0+%2B-+sqrt%2814%29
x=-3+%2B-+sqrt%2814%29
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