Function Transformations

Front

What is a function transformation?

Back

A function transformation refers to the changes made to the graph of a function, which can include translations, reflections, stretches, and compressions.

Front

What does the transformation h(x) = f(x) + 2 represent?

Back

The graph of the function is translated up 2 units.

Front

What is the parent function of y = x^2?

Back

The parent function is quadratic.

Front

Describe the transformation m(x) = f(x + 1).

Back

The graph of the function is translated left 1 unit.

Front

What does the transformation y = x^2 + 5 represent?

Back

The graph of the parent quadratic function is translated up 5 units.

Front

What is the parent function of y = |x|?

Back

The parent function is absolute value.

Front

What does a vertical stretch of a function do?

Back

It increases the distance between points on the graph and the x-axis, making the graph taller.

Front

What is the effect of the transformation y = -f(x)?

Back

The graph of the function is reflected over the x-axis.

Front

What does the transformation y = f(x - 3) represent?

Back

The graph of the function is translated right 3 units.

Front

What is the parent function of y = 2^x?

Back

The parent function is exponential.