Warm Up Flashcard #6 - Transformations

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What is a transformation in graphing?

Back

A transformation in graphing refers to the changes made to the graph of a function, including shifts, reflections, stretches, and compressions.

Front

What does it mean to shift a graph to the right?

Back

Shifting a graph to the right means adding a positive value to the x-variable in the function, which moves the entire graph horizontally to the right.

Front

What does it mean to shift a graph up?

Back

Shifting a graph up means adding a positive value to the entire function, which moves the graph vertically upwards.

Front

What is a vertical stretch?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

What is a vertical compression?

Back

A vertical compression occurs when the output values of a function are multiplied by a factor between 0 and 1, making the graph shorter.

Front

What does it mean to reflect a graph over the x-axis?

Back

Reflecting a graph over the x-axis means that for every point (x, y) on the graph, the new point will be (x, -y), flipping the graph upside down.

Front

What is the parent function of a cubic function?

Back

Front

How do you write the equation of a vertically stretched absolute value function?

Back

Front

What is the effect of adding a constant to a function?

Back

Adding a constant to a function shifts the graph vertically. If the constant is positive, the graph shifts up; if negative, it shifts down.

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