For the function y=x^2-4x-5, perform the followingtasks:
a. put the function in the form y=a(x-h)^2+k. (showwork)
b. what is the equation for the line of symmetry for the
graphof this function?

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.

answer is more than one

step-by-step explanation:

9

step-by-step explanation: