Reflections and Dilations of Parent Functions

Front

What is the parent absolute value function?

Back

Front

What does it mean to reflect a function vertically?

Back

Reflecting a function vertically means to flip the graph over the x-axis, which can be represented by multiplying the function by -1.

Front

How do you shift a function to the right?

Back

To shift a function to the right by 'h' units, you replace 'x' with 'x-h' in the function's equation.

Front

How do you shift a function down?

Back

Front

What is the effect of a vertical stretch on a function?

Back

A vertical stretch by a factor of 'a' (where a > 1) multiplies the output of the function by 'a', making the graph taller.

Front

What is the equation for the absolute value function shifted right 15 units and down 3 units, reflected vertically?

Back

Front

Back

It shrinks the graph vertically by a factor of 1/3 and translates it up 4 units.

Front

What is the general form of a quadratic function?

Back

Front

How do you apply a horizontal shift to a quadratic function?

Back

To apply a horizontal shift of 'h' units to the left, replace 'x' with 'x + h' in the function's equation.

Front

What is the effect of a vertical shift on a function?

Back

A vertical shift moves the graph up or down without changing its shape; adding 'k' shifts it up, while subtracting 'k' shifts it down.