Transformations of Lines

Front

What is the parent function of linear equations?

Back

y = x

Front

What does a vertical shift of +10 units indicate in a linear function?

Back

The graph of the function shifts up by 10 units.

Front

What does a vertical shift of -2 units indicate in a linear function?

Back

The graph of the function shifts down by 2 units.

Front

How does a reflection over the x-axis affect the graph of a linear function?

Back

It flips the graph over the x-axis, changing the sign of the y-values.

Front

What is the effect of a vertical stretch on a linear function?

Back

It increases the steepness of the line.

Front

How do you determine if one line is steeper than another?

Back

Compare the slopes; a larger slope value indicates a steeper line.

Front

What is the slope of the line represented by the equation y = 5x + 8?

Back

The slope is 5.

Front

Order the following slopes from steepest to flattest: 5, 3, 1/2, 1/3.

Back

5, 3, 1/2, 1/3.

Front

What transformation does the equation y = x + 10 represent compared to the parent function?

Back

It represents a vertical shift up by 10 units.

Front

What transformation does the equation y = 3x + 5 represent compared to the parent function?

Back

It represents a vertical shift up by 5 units with a slope of 3.