Trigonometry Examples

Find the x and y Intercepts y=2(x+3)^2+10
Step 1
Find the x-intercepts.
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Step 1.1
To find the x-intercept(s), substitute in for and solve for .
Step 1.2
Solve the equation.
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Step 1.2.1
Remove parentheses.
Step 1.2.2
Simplify .
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Step 1.2.2.1
Simplify each term.
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Step 1.2.2.1.1
Rewrite as .
Step 1.2.2.1.2
Expand using the FOIL Method.
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Step 1.2.2.1.2.1
Apply the distributive property.
Step 1.2.2.1.2.2
Apply the distributive property.
Step 1.2.2.1.2.3
Apply the distributive property.
Step 1.2.2.1.3
Simplify and combine like terms.
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Step 1.2.2.1.3.1
Simplify each term.
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Step 1.2.2.1.3.1.1
Multiply by .
Step 1.2.2.1.3.1.2
Move to the left of .
Step 1.2.2.1.3.1.3
Multiply by .
Step 1.2.2.1.3.2
Add and .
Step 1.2.2.1.4
Apply the distributive property.
Step 1.2.2.1.5
Simplify.
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Step 1.2.2.1.5.1
Multiply by .
Step 1.2.2.1.5.2
Multiply by .
Step 1.2.2.2
Add and .
Step 1.2.3
Graph each side of the equation. The solution is the x-value of the point of intersection.
No solution
No solution
Step 1.3
To find the x-intercept(s), substitute in for and solve for .
x-intercept(s):
x-intercept(s):
Step 2
Find the y-intercepts.
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Step 2.1
To find the y-intercept(s), substitute in for and solve for .
Step 2.2
Solve the equation.
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Step 2.2.1
Remove parentheses.
Step 2.2.2
Remove parentheses.
Step 2.2.3
Simplify .
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Step 2.2.3.1
Simplify each term.
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Step 2.2.3.1.1
Add and .
Step 2.2.3.1.2
Raise to the power of .
Step 2.2.3.1.3
Multiply by .
Step 2.2.3.2
Add and .
Step 2.3
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Step 3
List the intersections.
x-intercept(s):
y-intercept(s):
Step 4