Transformations on Parent Functions

Front

What is a transformation in the context of parent functions?

Back

A transformation refers to the changes made to the graph of a parent function, including shifts, stretches, compressions, and reflections.

Front

What does a horizontal shift to the right by 2 units look like in an equation?

Back

The equation of a function f(x) is transformed to f(x - 2).

Front

What does a vertical shift up by 5 units look like in an equation?

Back

The equation of a function f(x) is transformed to f(x) + 5.

Front

What is the parent function of a quadratic function?

Back

Front

Back

Front

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

Back

It reflects the graph across the x-axis.

Front

What is the equation for a function that has a horizontal shift of 2 left and a vertical stretch of 3?

Back

Front

What is the parent function of an absolute value function?

Back

Front

If a function is transformed to f(x) = -(x - 2)^2 - 1, what transformations have occurred?

Back

The graph has been reflected over the x-axis, shifted right 2 units, and shifted down 1 unit.

Front

What does a vertical compression by a factor of 1/2 look like in an equation?

Back

The equation of a function f(x) is transformed to f(x) = (1/2) * f(x).