Understanding Transformations in Graphs

The video tutorial by Math with Martinez explores the effects of transformations on parent function graphs. It covers translations, reflections, and dilations, explaining how each transformation affects the graph's position and shape. The tutorial also demonstrates how to combine transformations and provides examples of each type, emphasizing the importance of understanding these concepts in graphing functions.

What happens to a graph when a positive value is added inside the grouping symbol?

• It moves up.

• It moves down.

• It moves to the right.

• It moves to the left.

How does a graph change when a negative value is added outside the grouping symbol?

• It shifts to the left.

• It shifts to the right.

• It shifts up.

• It shifts down.

What is the result of reflecting a graph over the x-axis?

• The graph is shifted up.

• The graph remains unchanged.

• The graph is flipped upside down.

• The graph is shifted to the right.

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When does a reflection over the y-axis result in an unchanged graph?

• When the graph has y-axis symmetry.

• When the graph has x-axis symmetry.

• When the graph is a straight line.

• When the graph is a circle.

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What transformation occurs when a graph is made negative?

• It is stretched vertically.

• It is compressed horizontally.

• It is reflected over the x-axis.

• It is translated up.

What does a dilation with an 'a' value greater than 1 do to a graph?

• Compresses it horizontally.

• Compresses it vertically.

• Stretches it vertically.

• Stretches it horizontally.

How does a 'b' value between 0 and 1 affect a graph?

• It stretches the graph vertically.

• It compresses the graph vertically.

• It stretches the graph horizontally.

• It compresses the graph horizontally.

What is the effect of a vertical stretch by a factor of 3?

• The graph becomes narrower.

• The graph becomes wider.

• The graph shifts up.

• The graph shifts down.

What happens when a graph is horizontally compressed by a factor of 1/3?

• The graph becomes wider.

• The graph shifts to the right.

• The graph shifts to the left.

• The graph becomes narrower.

Which transformation results in the same graph as a vertical stretch by a factor of 3?

• Vertical stretch by a factor of 1/3.

• Horizontal compression by a factor of 1/3.

• Horizontal stretch by a factor of 3.

• Vertical compression by a factor of 1/3.