Algebra Examples

To find the coordinate of the vertex, set the inside of the absolute value equal to . In this case, .
Solve the equation to find the coordinate for the absolute value vertex.
Tap for more steps...
Rewrite as a set of linear factors.
Divide each term by and simplify.
Tap for more steps...
Divide each term in by .
Simplify the left side of the equation by cancelling the common factors.
Tap for more steps...
Multiply by to get .
Reduce the expression by cancelling the common factors.
Tap for more steps...
Cancel the common factor.
Divide by to get .
Divide by to get .
Take the root of both sides of the to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
Simplify the right side of the equation.
Tap for more steps...
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
is equal to .
Replace the variable with in the expression.
Simplify to get .
Tap for more steps...
Simplify each term.
Tap for more steps...
Remove parentheses around .
Raising to any positive power yields .
Multiply by to get .
The absolute value is the distance between a number and zero. The distance between and is .
Multiply by to get .
Add and to get .
The absolute value vertex is .
Enter YOUR Problem

Enter the email address associated with your Mathway account below and we'll send you a link to reset your password.

Please enter an email address
Please enter a valid email address
The email address you entered was not found in our system
The email address you entered is associated with a Facebook user
We're sorry, we were unable to process your request at this time

Mathway Premium

Step-by-step work + explanations
  •    Step-by-step work
  •    Detailed explanations
  •    No advertisements
  •    Access anywhere
Access the steps on both the Mathway website and mobile apps
$--.--/month
$--.--/year (--%)

Mathway Premium

Visa and MasterCard security codes are located on the back of card and are typically a separate group of 3 digits to the right of the signature strip.

American Express security codes are 4 digits located on the front of the card and usually towards the right.
This option is required to subscribe.
Go Back

Step-by-step upgrade complete!

Mathway requires javascript and a modern browser.
  [ x 2     1 2     π     x d x   ]