Find the line of symmetry equation for the function f(x )=x −2x −3.

x = 1

Step-by-step explanation:

The line of symmetry is defined as the x value of the vertex of a parabola.

To find the vertex of a parabola, we need to convert to vertex form.

Vertex form looks like this:

, where -h is the x value of the vertex and k is the y value of the vertex.

H is also defined as where a is the coefficient of x squared and b is the coefficient of the x term.

The coefficient of the x squared term is 1 and the coefficient of b is -2.

Plugging in, we get , which is equal to 1. This can then be plugged into the equation as

, but k doesn't matter because all we need is the x-term. Now, our x-term is negative h, which is negative negative one, which is positive one. Therefore, our answer is x = 1.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are