MA - Transformations of Graphs

Front

What is the parent function of f(x) = |x|?

Back

The parent function is the absolute value function, f(x) = |x|.

Front

Describe the transformation of f(x) = |x - 1| - 5.

Back

The graph is shifted right 1 unit and down 5 units.

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 point (x, -y) will also be on the graph.

Front

What is the effect of adding a positive number outside the absolute value function?

Back

Adding a positive number outside the absolute value function shifts the graph upward.

Front

What is the effect of subtracting a number from x inside the absolute value function?

Back

Subtracting a number from x inside the absolute value function shifts the graph to the right.

Front

What is the parent function of f(x) = x^2?

Back

The parent function is the quadratic function, f(x) = x^2.

Front

Describe the transformation of f(x) = -x^2 + 3.

Back

The graph is reflected over the x-axis and shifted up 3 units.

Front

What does the term 'vertical shift' refer to in graph transformations?

Back

A vertical shift refers to moving the graph up or down without changing its shape.

Front

What is the effect of a negative sign in front of a quadratic function?

Back

A negative sign in front of a quadratic function reflects the graph over the x-axis.

Front

What is the parent function of f(x) = x^3?

Back

The parent function is the cubic function, f(x) = x^3.