Find the Vertex -4x^2-4x+5

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…
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.
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.
Move the negative in front of the fraction.
Multiply .
Tap for more steps…
Multiply by .
Multiply by .
Find the value of using the formula .
Tap for more steps…
Simplify each term.
Tap for more steps…
Cancel the common factor of and .
Tap for more steps…
Rewrite as .
Apply the product rule to .
Raise to the power of .
Multiply by .
Factor out of .
Cancel the common factors.
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of and .
Tap for more steps…
Factor out of .
Move the negative one from the denominator of .
Multiply by .
Multiply by .
Add and .
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 .
Find the vertex .
Find the Vertex -4x^2-4x+5

Download our
App from the store

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

Scroll to top