Question

if you got:
x = -4
b
now find:
what is the axis of symmetry for the parabola?
graph of a parabola

Explanation:

Step1: Recall Axis of Symmetry Formula

For a parabola in the form \( y = ax^2 + bx + c \), the axis of symmetry is \( x = -\frac{b}{2a} \), or it can also be identified as the vertical line passing through the vertex of the parabola. From the graph, we can observe the vertex's x - coordinate, or we can use the given \( x=-4 \) (maybe from a previous calculation related to the parabola's equation).

Step2: Determine the Axis of Symmetry

The axis of symmetry of a parabola is a vertical line. If we know that from the related calculation (or by observing the vertex on the graph, the x - coordinate of the vertex is the axis of symmetry), and we had a previous result of \( x = - 4 \), or by looking at the graph, the vertex is at \( x=-4 \) (since the parabola is symmetric about this vertical line). So the axis of symmetry is the vertical line \( x=-4 \).

Answer:

The axis of symmetry for the parabola is \( x = - 4 \)