Graphing Quadratic Equations - Concept

Concept 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 Sample Problems (11)

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Graphing Quadratic Equations - Problem 1

Graph:

f(x) = x² − 4x + 3
Problem 1
How to graph a quadratic equation by hand when there are whole number x intercepts.
Graphing Quadratic Equations - Problem 2

Graph:

f(x) = 4x² − 16x + 7
Problem 2
How to graph a quadratic equation by hand when there are fractional x intercepts.
Graphing Quadratic Equations - Problem 3

Graph:

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