Transformations on Parent Functions

Front

What is the parent function of the absolute value?

Back

Front

How does shifting a function to the right affect its equation?

Back

Front

What is the effect of reflecting a function vertically?

Back

Front

What does it mean to shift a function down?

Back

Front

Write the equation for the absolute value function shifted right 15 units and down 3 units.

Back

Front

What is the equation for the absolute value function reflected vertically and shifted down 3 units?

Back

Front

How do you find the maximum value of a function?

Back

The maximum value of a function can be found by identifying the highest point on its graph or by evaluating the function at critical points.

Front

Back

The vertex is at the point (15, -3).

Front

What transformation occurs when you multiply a function by a factor less than 1?

Back

Multiplying a function by a factor less than 1 compresses the graph vertically.

Front

What is the general form of a quadratic function?

Back