Module 2 Topic 2 Test (Transformations)

Front

What is a reflection transformation in mathematics?

Back

A reflection transformation flips a graph over a specified line, such as the x-axis or y-axis.

Front

What happens to the graph of a function when it is reflected across the x-axis?

Back

The y-values of the function are multiplied by -1, resulting in a vertical flip.

Front

How does the equation y = f(x + 7) transform the graph of f(x)?

Back

It shifts the graph of f(x) 7 units to the left.

Front

What is the effect of multiplying a function by a factor greater than 1, such as 2f(x)?

Back

It vertically stretches the graph, making it steeper.

Front

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

Back

It shifts the graph of f(x) down by 3 units.

Front

What is the parent function for linear equations?

Back

The parent function for linear equations is f(x) = x.

Front

What does the transformation g(x) = 1/4 f(x) do to the graph of f(x)?

Back

It compresses the graph vertically, making it less steep.

Front

What is the result of a horizontal shift in a function's graph?

Back

A horizontal shift moves the graph left or right without changing its shape.

Front

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

Back

It reflects the graph of f(x) across the x-axis.

Front

How does the transformation y = f(x) + k affect the graph?

Back

It shifts the graph vertically by k units; up if k is positive, down if k is negative.