Questions: Identify the vertex and sketch the graph.
f(x)=-2 x^2-24 x-72
Transcript text: Identify the vertex and sketch the graph.
\[
f(x)=-2 x^{2}-24 x-72
\]
Solution
Solution Steps
Step 1: Identify the Vertex of the Parabola
The given quadratic function is \( f(x) = -2x^2 - 24x - 72 \). The vertex form of a quadratic function is \( f(x) = a(x-h)^2 + k \), where \((h, k)\) is the vertex. To find the vertex, we use the formula for the x-coordinate of the vertex, \( h = -\frac{b}{2a} \).