Algebra Examples

Find the x and y Intercepts y=x^2-4
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
Rewrite the equation as .
Step 1.2.2
Add to both sides of the equation.
Step 1.2.3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 1.2.4
Simplify .
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Step 1.2.4.1
Rewrite as .
Step 1.2.4.2
Pull terms out from under the radical, assuming positive real numbers.
Step 1.2.5
The complete solution is the result of both the positive and negative portions of the solution.
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Step 1.2.5.1
First, use the positive value of the to find the first solution.
Step 1.2.5.2
Next, use the negative value of the to find the second solution.
Step 1.2.5.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 1.3
x-intercept(s) in point form.
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
Raising to any positive power yields .
Step 2.2.3.2
Subtract from .
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