Day 49 roots (algebra 2)

Front

What is a vertical stretch in transformations?

Back

A vertical stretch occurs when a function is multiplied by a factor greater than 1, making it grow taller.

Front

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

Back

Reflecting a function over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Front

What is the parent function of a square root function?

Back

Front

How do you determine the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the effect of shifting a graph to the right?

Back

Shifting a graph to the right means adding a positive value to the x-variable in the function.

Front

What does a negative sign in front of a function indicate?

Back

A negative sign in front of a function indicates a reflection over the x-axis.

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of the function crosses the x-axis, meaning the output (y) is zero.

Front

What is a vertical compression in transformations?

Back

A vertical compression occurs when a function is multiplied by a factor between 0 and 1, making it flatter.

Front

How do you identify the transformations of a function compared to its parent function?

Back

Transformations can be identified by analyzing changes in the function's equation, such as shifts, stretches, and reflections.

Front

What does it mean to shift a graph down?

Back

Shifting a graph down means subtracting a value from the function, which lowers the entire graph.