Google Classroom

GeoGebra Classroom

Transformations of a Parabola

Author:: MHenry507109

Topic:: Algebra, Parabola

Use the slider to investigate how changing the value of a affects the graph of the parabola. The parent parabola is shown in black.

How does changing the value of a in affect the graph of the parabola? Select all that apply.

Select all that apply

A
The value of a affects the width of the parabola.
B
The value of a affects the direction that the parabola opens. If a is positive. the parabola will open up. If a is negative, the parabola will open down.
C
The value of a has no affect on the graph.

Check my answer (3)

Use the slider to investigate how changing the value of h affects the graph of the parabola. The parent parabola is shown in black.

How does changing the value of h in affect the graph of the parabola?

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Use the slider to investigate how changing the value of k affects the graph of the parabola. The parent parabola is shown in black.

How does changing the value of k affect the graph of ? Select all that apply.

Select all that apply

A
If k is negative, the graph will move up k units.
B
If k is positive, the graph will move up k units.
C
If k is negative, the graph will move down k units.
D
If k is positive, the graph will move down k units.

Check my answer (3)

Putting It All Together

Use the sliders to investigate how changing the values in the vertex form of a parabola changes the graph. The parent parabola is shown in black.

Where is the vertex of ? Place your answer in parentheses.

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