Find the Axis of Symmetry f(x)=(x-6)(x-2)

Math
Set the polynomial equal to to find the properties of the parabola.
Rewrite the equation in vertex form.
Tap for more steps…
Complete the square for .
Tap for more steps…
Expand using the FOIL Method.
Tap for more steps…
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Tap for more steps…
Simplify each term.
Tap for more steps…
Multiply by .
Move to the left of .
Multiply by .
Subtract from .
Use the form , to find the values of , , and .
Consider the vertex form of a parabola.
Substitute the values of and into the formula .
Simplify the right side.
Tap for more steps…
Cancel the common factor of and .
Tap for more steps…
Factor out of .
Cancel the common factors.
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Multiply by .
Find the value of using the formula .
Tap for more steps…
Simplify each term.
Tap for more steps…
Raise to the power of .
Multiply by .
Divide by .
Multiply by .
Subtract from .
Substitute the values of , , and into the vertex form .
Set equal to the new right side.
Use the vertex form, , to determine the values of , , and .
Since the value of is positive, the parabola opens up.
Opens Up
Find the vertex .
Find , the distance from the vertex to the focus.
Tap for more steps…
Find the distance from the vertex to a focus of the parabola by using the following formula.
Substitute the value of into the formula.
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Find the focus.
Tap for more steps…
The focus of a parabola can be found by adding to the y-coordinate if the parabola opens up or down.
Substitute the known values of , , and into the formula and simplify.
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
Find the Axis of Symmetry f(x)=(x-6)(x-2)

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top