Find the equation of the axis of symmetry of the parabola.
$y = 3 x ^ { 2 } + 30 x + 74$
A) x=-1
B) x=-5
C) x=1
D) x=5

Name: Find the equation of the axis of symmetry of the parabola. $y = 3 x ^ { 2 } + 30 x + 74$ A) x=-1 B) x=-5 C) x=1 D) x=5
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Question

Find the equation of the axis of symmetry of the parabola.
$y = 3 x ^ { 2 } + 30 x + 74$
A)  x=-1 
B)  x=-5 
C)  x=1 
D)  x=5

Quizplus · Accepted Answer

The axis of symmetry of a parabola given by $y = ax^2 + bx + c$ is found using the formula $x = -\frac{b}{2a}$. For the given equation, $a = 3$ and $b = 30$, so the axis of symmetry is $x = -\frac{30}{2*3} = -5$.

Find the Equation of the Axis of Symmetry of the Parabola