Unit 5 Flashcard 2 Review Part 2

Front

What is a transformation in the context of functions?

Back

A transformation refers to the changes made to the graph of a function, which can include shifts, stretches, compressions, and reflections.

Front

What does it mean to shift a graph down?

Back

Shifting a graph down means moving every point of the graph downward by a certain number of units, which decreases the function's output values.

Front

What is the parent function of a linear equation?

Back

The parent function of a linear equation is y = x, which represents a straight line through the origin with a slope of 1.

Front

How does subtracting a constant from a function affect its graph?

Back

Subtracting a constant from a function shifts the graph downward by that constant value.

Front

What is the effect of adding a constant to a function's output?

Back

Adding a constant to a function's output shifts the graph upward by that constant value.

Front

What does it mean for a graph to be steeper?

Back

A graph is steeper when it has a larger absolute value of the slope, indicating that it rises or falls more quickly.

Front

What is a vertical stretch in graph transformations?

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 in graph transformations?

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 happens to the graph of f(x) = x when you graph g(x) = f(x) - 12?

Back

The graph of g(x) is the graph of f(x) shifted down 12 units.

Front

What is the relationship between the slopes of two parallel lines?

Back

Two parallel lines have the same slope, meaning they rise and fall at the same rate.