Fall Interim Review 1: Functions, Transformations, Domain/Range

Front

What is the linear parent function?

Back

The linear parent function is f(x) = x, which represents a straight line with a slope of 1 and a y-intercept of 0.

Front

What happens to the graph of f(x) = x when it is transformed to g(x) = f(x) - 6?

Back

The graph is shifted down 6 units.

Front

How do you find the x-intercept of a linear function?

Back

Set y = 0 and solve for x.

Front

How do you find the y-intercept of a linear function?

Back

Set x = 0 and solve for y.

Front

What is the transformation of g(x) = f(x) + 3?

Back

The graph is shifted up 3 units.

Front

What does it mean for a graph to be reflected?

Back

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

Front

What does it mean for a graph to be steeper?

Back

A graph is steeper when its slope increases, meaning it rises or falls more sharply.

Front

What is the slope of the line represented by y = -x + 2?

Back

The slope is -1.

Front

What are the x- and y-intercepts of the line y = -x + 2?

Back

The x-intercept is (2, 0) and the y-intercept is (0, 2).

Front

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

Back

It represents a reflection of the graph of f(x) over the x-axis.