### Concept (1)

When graphing radical equations using shifts, adding or subtracting a constant that is not in the radical will shift the graph up (adding) or down (subtracting). Adding or subtracting a constant that is in the radical will shift the graph left (adding) or right (subtracting). Multiplying a negative constant by the equation will reflect the graph over the x-axis. Multiplying by a number larger than one increases the y-values.

### Sample Problems (4)

Need help with "Solving Rational Equations with Unlike Denominators" problems? Watch expert teachers solve similar problems to develop your skills.

Solve:

 x + 3 = x + 2 x + 1 x − 2
###### Problem 1
How to solve rational equations that are proportions.

Solve:

 3x = 5 + 6 x − 2 x − 2
###### Problem 2
How to solve rational equations where a rational expression is added to a constant.

Solve:

 x + 2 − x + 7 = 0 3 x + 3
###### Problem 3
How to solve rational equations when there are unlike denominators.

Solve:

 x + x + 2 = -4x 3x + 2 2x − 3 6x² − 5x − 6
###### Problem 4
How to solve rational equations when the common denominator has three factors.