SOLUTION: The graph of the equation $y =ax^2 + bx + c$, where $a$, $b$, and $c$ are constants, is a parabola with axis of symmetry $x = -3.$ Find $\frac{b}{a}$.

SOLUTION: The graph of the equation $y =ax^2 + bx + c$, where $a$, $b$, and $c$ are constants, is a parabola with axis of symmetry $x = -3.$ Find $\frac{b}{a}$.

Algebra.Com

Question 1105367:
The graph of the equation $y =ax^2 + bx + c$, where $a$, $b$, and $c$ are constants, is a parabola with axis of symmetry $x = -3.$ Find $\frac{b}{a}$.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

x = h is the axis of symmetry
h = -b/(2a)
h = -3
So -3 = -b/(2a)

Multiply both sides by -2 and we get 6 = b/a which flips to b/a = 6

Answer: 6

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