Module 4 Test Review

Front

What is the parent function of a linear equation?

Back

The parent function of a linear equation is f(x) = x.

Front

How does shifting a function down affect its equation?

Back

Shifting a function down by 'k' units results in the equation f(x) = f(x) - k.

Front

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

Back

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

Front

If a function is transformed to g(x) = f(x) - 6, what does this indicate about the transformation?

Back

This indicates that the function g(x) is shifted down 6 units from the parent function f(x).

Front

What does the slope of a line represent in a linear equation?

Back

The slope of a line represents the rate of change of y with respect to x.

Front

How do you determine the slope from the equation y = mx + b?

Back

The slope is the coefficient 'm' in the equation y = mx + b.

Front

What is the y-intercept in the equation y = 3x + 6?

Back

The y-intercept is 6, which is the value of y when x = 0.

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 from left to right.

Front

How can you identify the transformation of a function from its equation?

Back

You can identify transformations by comparing the transformed function to its parent function and noting changes in position, such as shifts or reflections.

Front

What is the effect of adding a positive number to a function's equation?

Back

Adding a positive number to a function's equation shifts the graph of the function upward.