Trigonometry Examples

Find the Vertices 11x^2-25y^2+22x+250y-889=0
Find the standard form of the hyperbola.
Tap for more steps...
Move to the right side of the equation because it does not contain a variable.
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 .
Tap for more steps...
Cancel the common factor.
Divide 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 .
Substitute for in the equation .
Move to the right side of the equation by adding to both sides.
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 .
Move the negative one from the denominator of .
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 .
Add and .
Substitute the values of , , and into the vertex form .
Substitute for in the equation .
Move to the right side of the equation by adding to both sides.
Simplify .
Tap for more steps...
Add and .
Subtract from .
Divide each term by to make the right side equal to one.
Simplify each term in the equation in order to set the right side equal to . The standard form of an ellipse or hyperbola requires the right side of the equation be .
This is the form of a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola.
Match the values in this hyperbola to those of the standard form. The variable represents the x-offset from the origin, represents the y-offset from origin, .
Find the vertices.
Tap for more steps...
The first vertex of a hyperbola can be found by adding to .
Substitute the known values of , , and into the formula and simplify.
The second vertex of a hyperbola can be found by subtracting from .
Substitute the known values of , , and into the formula and simplify.
The vertices of a hyperbola follow the form of . Hyperbolas have two vertices.
Cookies & Privacy
This website uses cookies to ensure you get the best experience on our website.
More Information