SOLUTION: find and equation of the quadratic function described: its graph is a parabola with x-intercepts 2and -1 and y-intercept 6

Question 50325This question is from textbook Advanced Mathematics
: find and equation of the quadratic function described: its graph is a parabola with x-intercepts 2and -1 and y-intercept 6 This question is from textbook Advanced Mathematics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find and equation of the quadratic function described: its graph is a parabola with x-intercepts 2and -1 and y-intercept 6
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If it has x-intercepts of 2 and -1 it must have factors (x-2), (x+1)
If the y-intercept is 6 the constant term must be "6"
EQUATION:
y=-3(x-2)(x+1)
y=-3(x^2-x-2)
y=-3x^2+3x+6
Cheers,
Stan H.
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