The parabola y=ax^2+bx+c is graphed below. Find a+b+c. (The grid lines are one unit apart.)
Find a+b+c.
Hello Guest!
The functional equation of the parabola shown is:
\(f(x)=(x-1)^2-4=x^2-2x-3\)
\(a=1\\b=-2\\ c=-3\\ \color{blue}a+b+c=-4\)
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Let \(f(x)=ax^2+bx+c\). Note that \(f(1) = a \cdot 1^2 + b \cdot 1 + c = a + b + c\), so \(a + b + c = f(1) = \boxed{-4}\).
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