Identify the vertex of the parabola.
-$$f ( x ) = - 3 x ^ { 2 }$$
A) $( 3,0 )$
B) $( 0,0 )$
C) $( 0 , - 3 )$
D) $( - 3,0 )$

Question

Quizplus · Accepted Answer

The vertex of a parabola in the form $f(x) = ax^2 + bx + c$ is given by the point $(h, k)$, where $h = -\frac{b}{2a}$ and $k = f(h)$. For the given equation $f(x) = -3x^2$, $a = -3$, $b = 0$, and $c = 0$, so $h = -\frac{0}{2(-3)} = 0$ and $k = f(0) = -3(0)^2 = 0$. Therefore, the vertex is $(0, 0)$.

Identify the Vertex of the Parabola f(x)=−3x2f ( x ) = - 3 x ^ { 2 }f(x)=−3x2

Identify the Vertex of the Parabola $f ( x ) = - 3 x ^ { 2 }$