Answer:
a. .
b. The axis of symmetry for is
.
Step-by-step explanation:
a. The vertex form of a quadratic is given by , where (h, k) is the vertex.
To convert from form to vertex form you use the process of completing the square.
Step 1: Write in the form
. Add and subtract 4:
Step 2: Complete the square
b. The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. 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, , the axis of symmetry is
.
The axis of symmetry for is
.
Look at the graph shown below.
