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Graph Transformations and Reflections

Graph Transformations and Reflections

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Lucas Foster

FREE Resource

The video tutorial covers transformations of graphs, focusing on translation, dilation, and reflection. It explains how to shift graphs horizontally and vertically, stretch and compress them, and flip them across axes. The tutorial uses examples and visual aids to illustrate these concepts, encouraging the use of graphing tools like Desmos for better understanding.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary effect of a translation on a graph?

It changes the graph's shape.

It alters the graph's size.

It shifts the graph's position.

It reflects the graph.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a graph of y = f(x) is transformed to y = f(x - a), what happens to the graph?

It shifts a units down.

It shifts a units to the left.

It shifts a units to the right.

It shifts a units up.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does a vertical translation affect the graph of y = f(x)?

It moves the graph up or down.

It stretches the graph horizontally.

It compresses the graph vertically.

It moves the graph left or right.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to perform a horizontal dilation on a graph?

Addition

Multiplication

Subtraction

Division

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a vertical dilation, what happens when y is divided by a constant?

The graph shifts to the left.

The graph shifts to the right.

The graph becomes taller.

The graph becomes wider.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of applying a horizontal reflection to a graph?

The graph is stretched horizontally.

The graph is flipped over the y-axis.

The graph is flipped over the x-axis.

The graph is compressed vertically.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you achieve a vertical reflection of a graph?

By multiplying y by -1.

By subtracting a constant from y.

By dividing x by a constant.

By adding a constant to x.

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