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MATH SOLVE
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Find the vertex of the parabola. g(x)=−x2−8x−7
10 months ago
Q:
Find the vertex of the parabola. g(x)=−x2−8x−7
Accepted Solution
A:
Solution variant #9.
Identify the coefficients
$a$
and
$b$
of the quadratic function
$\begin{array} { l }a=-1,& b=-8\end{array}$
Find the
$x$
-coordinate of the vertex by substituting
$a=-1$
and
$b=-8$
into
$x=-\frac{ b }{ 2a }$
$x=-\frac{ -8 }{ 2 \times \left( -1 \right) }$
Solve the equation for
$x$
$x=-4$
Find the
$y$
-coordinate of the vertex by evaluating the function for
$x=-4$
$\begin{array} { l }g\left( x \right)=-{x}^{2}-8x-7,& x=-4\end{array}$
Calculate the function value for
$x=-4$
$g\left( -4 \right)=9$
The vertex of the graph of the quadratic function is at
$\left( -4, 9\right)$
$\left( -4, 9\right)$