Trigonometry Examples

Find the Vertex y^2=-9/8x
Rewrite the equation in vertex form.
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Isolate to the left side of the equation.
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Rewrite the equation as .
Multiply both sides of the equation by .
Simplify both sides of the equation.
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Simplify the left side.
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Cancel the common factor of .
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Move the leading negative in into the numerator.
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply.
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Multiply by .
Multiply by .
Simplify .
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Combine and .
Move to the left of .
Complete the square for .
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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.
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Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Cancel the common factor.
Rewrite the expression.
Multiply the numerator by the reciprocal of the denominator.
Multiply .
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Multiply by .
Multiply by .
Find the value of using the formula .
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Simplify each term.
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Raising to any positive power yields .
Simplify the denominator.
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Multiply by .
Combine and .
Multiply by .
Move the negative in front of the fraction.
Multiply the numerator by the reciprocal of the denominator.
Multiply .
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Multiply by .
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 .
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