Find the axis of symmetry of the given function.
-$$f ( x ) = - x ^ { 2 } + 7 x - 5$$
A) $x = 7$
B) $x = \frac { 7 } { 8 }$
C) $x = - \frac { 7 } { 2 }$
D) $x = \frac { 7 } { 2 }$

Question

Quizplus · Accepted Answer

The axis of symmetry for a quadratic function in the form $f(x) = ax^2 + bx + c$ is given by $x = -\frac{b}{2a}$. For the given function $f(x) = -x^2 + 7x - 5$, $a = -1$ and $b = 7$, so the axis of symmetry is $x = -\frac{7}{2(-1)} = \frac{7}{2}$.

Find the Axis of Symmetry of the Given Function f(x)=−x2+7x−5f ( x ) = - x ^ { 2 } + 7 x - 5f(x)=−x2+7x−5

Find the Axis of Symmetry of the Given Function $f ( x ) = - x ^ { 2 } + 7 x - 5$