Transformations & Slope Intercept Form

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of a function crosses the x-axis, meaning the y-coordinate is zero.

Front

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

Back

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

Front

What does the transformation y = |x - 4| represent?

Back

This transformation represents a horizontal shift of the absolute value function to the right by 4 units.

Front

How do you determine the transformation of the function y = |x| + 2?

Back

This function represents a vertical shift of the absolute value function up by 2 units.

Front

What is the parent function of the absolute value function?

Back

The parent function of the absolute value function is f(x) = |x|.

Front

What does a negative sign in front of the absolute value function indicate?

Back

A negative sign indicates a reflection over the x-axis.

Front

What is the significance of the slope (m) in the slope-intercept form?

Back

The slope (m) indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What transformation does the equation y = |x + 3| - 2 represent?

Back

This represents a horizontal shift to the left by 3 units and a vertical shift down by 2 units.