Introduction to Parabolas - Concept

Concept Concept (1)

When graphing a quadratic equation, the resulting shape is not a straight line, but instead a shape called a parabola. Parabolas vary in direction and shape. The lowest or highest point in a parabola is called a vertex, which lies on the axis of symmetry. If the leading coefficient of the term to the second degree is positive, the parabola faces up. If it is negative, the parabola faces down.

Sample Sample Problems (8)

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Introduction to Parabolas - Problem 2


f(x) = -3(x + 2)² + 4
Problem 2
How to use vertex form to graph a parabola.
Introduction to Parabolas - Problem 3
a) Give any equation for a parabola with vertex (-3,-2)
b) That also passes through (-2,4)
Problem 3
How to write the equation of a parabola given the vertex.
Introduction to Parabolas - Problem 4

Determine 'a' and 'k' so that (-3,2) and (0,11) lie on y = a(x + 2)² + k

Problem 4
How to write the equation for a parabola given specific points.
Introduction to Parabolas - Problem 5
Problem 5
How to write the equation for a parabola from a graph or from the vertex and one other point
Introduction to Parabolas - Problem 6
Problem 6
Using transformations to sketch parabolas in vertex form, including those with "a" value not one
Introduction to Parabolas - Problem 7
Problem 7
Using transformations to sketch parabolas in vertex form
Introduction to Parabolas - Problem 8
Problem 8
Writing equations for equations back and forth between standard and vertex form
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