Question

8.

For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.


A. Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –x2 – 2x – 1


B. Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –2x2 – 2x – 1


C. Axis of symmetry: x = –1; Vertex: (–1, –1); f(x) = –x2 – 2x – 1


D. Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –x2 – x + 2

Answer 1

Axis of symmetry: x = –1; Vertex: (–1, 0); f(x) = –2x2 – 2x – 1

Explanation:

What are the vertex and axis of symmetry of the equation?

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .