Algebra 1 Chapter 3

Front

What is the average rate of change?

Back

The average rate of change is the change in the value of a function divided by the change in the input value over a specific interval.

Front

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

Back

To find the y-intercept, set x=0 in the equation and solve for y.

Front

What are x and y intercepts?

Back

The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0).

Front

What does the equation y = f(x) - 5 represent?

Back

This represents a vertical shift of the graph of y = f(x) downwards by 5 units.

Front

How do you find the x-intercept of the equation 2x + 5y = 10?

Back

Set y=0 and solve for x: 2x = 10, so x = 5.

Front

How do you find the y-intercept of the equation 2x + 5y = 10?

Back

Set x=0 and solve for y: 5y = 10, so y = 2.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

Front

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

Back

The graph of y = f(x) is shifted up 3 units.