Find the vertex of the parabola.
-$$f ( x ) = - 2 x ^ { 2 } + 5 x + 1$$
A) $\left( \frac { 5 } { 4 } , \frac { 33 } { 8 } \right)$
B) $\left( - \frac { 5 } { 4 } , - \frac { 83 } { 8 } \right)$
C) $\left( - \frac { 5 } { 4 } , - \frac { 67 } { 8 } \right)$
D) $\left( \frac { 5 } { 2 } , \frac { 33 } { 8 } \right)$

Question

Quizplus · Accepted Answer

The vertex of a parabola in the form $f(x) = ax^2 + bx + c$ is given by $\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)$. For $f(x) = -2x^2 + 5x + 1$, the vertex is $\left(\frac{5}{4}, \frac{33}{8}\right)$.

Find the Vertex of the Parabola f(x)=−2x2+5x+1f ( x ) = - 2 x ^ { 2 } + 5 x + 1f(x)=−2x2+5x+1

Find the Vertex of the Parabola $f ( x ) = - 2 x ^ { 2 } + 5 x + 1$