Transformations of Quadratic and Absolute Value Functions

Front

What is the vertex form of a quadratic function?

Back

Front

What does a negative coefficient in front of an absolute value function indicate?

Back

A negative coefficient indicates that the graph of the function is reflected over the x-axis.

Front

What is the parent function of absolute value?

Back

Front

Back

This equation represents a horizontal shift 3 units to the right and a vertical shift 2 units up.

Front

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

Back

Adding a constant outside the absolute value function results in a vertical shift of the graph.

Front

What is the standard form of a quadratic function?

Back

Front

How do you identify the axis of symmetry in a quadratic function?

Back

Front

Back

Front

Back

The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width (narrower if |a| > 1, wider if |a| < 1).

Front

Back

This represents a vertical stretch by a factor of 3, a reflection over the x-axis, a horizontal shift 1 unit to the right, and a vertical shift 5 units up.