Algebra 1 Transformations Exit Ticket

Front

What is a horizontal shift in a function?

Back

A horizontal shift occurs when the graph of a function moves left or right on the coordinate plane. For example, f(x) = (x - 3)^2 shifts the graph of f(x) = x^2 to the right by 3 units.

Front

What is a vertical shift in a function?

Back

A vertical shift occurs when the graph of a function moves up or down on the coordinate plane. For example, f(x) = x^2 + 4 shifts the graph of f(x) = x^2 up by 4 units.

Front

What does a reflection over the x-axis do to a function?

Back

A reflection over the x-axis flips the graph of the function upside down. For example, f(x) = -x^2 reflects the graph of f(x) = x^2 over the x-axis.

Front

What does a reflection over the y-axis do to a function?

Back

A reflection over the y-axis flips the graph of the function horizontally. For example, f(x) = f(-x) reflects the graph of f(x) over the y-axis.

Front

What is a vertical stretch in a function?

Back

A vertical stretch occurs when the graph of a function is pulled away from the x-axis. For example, f(x) = 2x^2 stretches the graph of f(x) = x^2 vertically by a factor of 2.

Front

What is a vertical compression in a function?

Back

A vertical compression occurs when the graph of a function is pushed towards the x-axis. For example, f(x) = 0.5x^2 compresses the graph of f(x) = x^2 vertically by a factor of 0.5.

Front

What is a horizontal stretch in a function?

Back

A horizontal stretch occurs when the graph of a function is pulled away from the y-axis. For example, f(x) = (0.5x)^2 stretches the graph of f(x) = x^2 horizontally by a factor of 2.

Front

What is a horizontal compression in a function?

Back

A horizontal compression occurs when the graph of a function is pushed towards the y-axis. For example, f(x) = (2x)^2 compresses the graph of f(x) = x^2 horizontally by a factor of 0.5.

Front

How do you identify a square root function?

Back

A square root function has the form f(x) = √x or f(x) = a√(x - h) + k, where (h, k) is the vertex of the graph.

Front

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

Back

Adding a constant to a function results in a vertical shift. For example, f(x) = x^2 + 3 shifts the graph of f(x) = x^2 up by 3 units.