Trigonometry Examples

Find the X and Y Intercepts f(x)=2x^2+3x-4
To find the x-intercept, substitute in for and solve for .
Solve the equation.
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Rewrite the equation as .
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
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Simplify the numerator.
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Raise to the power of .
Multiply by .
Multiply by .
Add and .
Multiply by .
Factor out of .
Multiply by .
Multiply by .
Simplify the expression to solve for the portion of the .
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Simplify the numerator.
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Raise to the power of .
Multiply by .
Multiply by .
Add and .
Multiply by .
Factor out of .
Multiply by .
Multiply by .
Change the to .
Rewrite as .
Factor out of .
Factor out of .
Move the negative in front of the fraction.
Simplify the expression to solve for the portion of the .
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Simplify the numerator.
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Raise to the power of .
Multiply by .
Multiply by .
Add and .
Multiply by .
Factor out of .
Multiply by .
Multiply by .
Change the to .
Rewrite as .
Factor out of .
Factor out of .
Move the negative in front of the fraction.
The final answer is the combination of both solutions.
To find the y-intercept, substitute in for and solve for .
Simplify .
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Simplify each term.
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Raising to any positive power yields .
Multiply by .
Multiply by .
Simplify by adding zeros.
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Add and .
Subtract from .
These are the and intercepts of the equation .
x-intercept:
y-intercept:
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