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 shifts, stretches, compressions, and reflections.

Front

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

Back

The graph of the function f(x) is shifted up 2 units.

Front

Which equation represents a quadratic function translated up 5 units?

Back

y = x² + 5.

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is y = x².

Front

What type of function is represented by the equation y = 3x + 2?

Back

Linear function.

Front

Describe the transformation of the equation y = |x - 4|.

Back

The graph of the absolute value function is shifted right 4 units.

Front

What does a vertical stretch of a function do?

Back

It multiplies the output values of the function by a factor greater than 1, making the graph taller.

Front

What is the effect of a horizontal shift to the left on a function?

Back

The graph of the function moves left by the specified number of units.

Front

What is the transformation of the function y = (x + 3)²?

Back

The graph of the function is shifted left 3 units.

Front

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

Back

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