a) What is the minimum (or maximum) point on a parabola? So what point have they given you? Which of the coordinates of this point have they given you?
b) What is the relationship between the x-value of the point in (a), and the x-intercepts (if any) of a parabola? So what is the x-value of this point?
c) Given what you have determined in answer to (a) and (b), what is the value of f(-1)? What equation do you get when you evaluate f(-1), given that f(x) = ax[sup:2066j8vo]2[/sup:2066j8vo] + bx + c?
d) What is the relationship between x-intercepts and the solutions (or zeroes) of an equation? So what are the values of f(-3) and f(1)?
Your answers to (c) and (d) should have given you a system of three linear equations in the variables "a", "b", and "c". Solve it to find your function. :wink:
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