### Concept (1)

Simplifying rational expressions combines everything learned about factoring common factors and polynomials. When simplifying rational functions, factor the numerator and denominator into terms multiplying each other and look for equivalents of one (something divided by itself). Include parenthesis around any expression with a "+" or "-" and if all terms cancel in the numerator, there is still a one there.

### Sample Problems (11)

Need help with "Graphing Quadratic Equations" problems? Watch expert teachers solve similar problems to develop your skills.

Graph:

f(x) = x² − 4x + 3
###### Problem 1
How to graph a quadratic equation by hand when there are whole number x intercepts.

Graph:

f(x) = 4x² − 16x + 7
###### Problem 2
How to graph a quadratic equation by hand when there are fractional x intercepts.

Graph:

f(x) = x² − 4x + 5
###### Problem 3
How to graph a quadratic equation by hand when there are no x intercepts.
###### Problem 4
Graphing a parabola from vertex form using a variety of translations.
###### Problem 5
Making a table of values around the vertex of a parabola to graph from standard form.
###### Problem 6
Making a table of values around the vertex of a parabola to graph from vertex form.
###### Problem 7
Using 5 key points to graph a quadratic function from vertex form.
###### Problem 8
Using 5 key points to graph a quadratic function from standard form.
###### Problem 9
Using 5 key points to graph a quadratic function when the "b" value is zero.
###### Problem 10
Using 5 key points to graph a quadratic function from vertex form with the quadratic formula.
###### Problem 11
Using 5 key points to graph a quadratic function when the vertex is the x-intercept.