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The parabola y=ax^2+bx+c is graphed below. Find a+b+c. (The grid lines are one unit apart.)

 

 Jan 11, 2022
 #1
avatar+13716 
+1

Find a+b+c. 

 

Hello Guest!

 

The functional equation of the parabola shown is:

\(f(x)=(x-1)^2-4=x^2-2x-3\)

\(a=1\\b=-2\\ c=-3\\ \color{blue}a+b+c=-4\)

laugh  !

 Jan 11, 2022
 #2
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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 \(a + b + c = f(1) = \boxed{-4}\).

 Jan 11, 2022

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