Find the vertex of the parabola associated with the quadratic equation.
-$$y = 4 x ^ { 2 } + 16 x + 19$$
A) $( - 3,2 )$
B) $( - 2,3 )$
C) $( 3 , - 2 )$
D) $( 2 , - 3 )$

Question

Quizplus · Accepted Answer

The vertex of a parabola in the form of $y = ax^2 + bx + c$ is located at $(-\frac{b}{2a}, c - \frac{b^2}{4a})$. Plugging in the values from the given equation, we get $(-2, 3)$ as the vertex. Therefore, the answer is choice B.

Find the Vertex of the Parabola Associated with the Quadratic y=4x2+16x+19y = 4 x ^ { 2 } + 16 x + 19y=4x2+16x+19

Find the Vertex of the Parabola Associated with the Quadratic $y = 4 x ^ { 2 } + 16 x + 19$