Linear Function Transformations

Front

What is a linear function?

Back

Front

What does it mean to reflect a graph about the x-axis?

Back

Front

How does changing the slope of a linear function affect its steepness?

Back

Increasing the absolute value of the slope makes the line steeper, while decreasing it makes the line less steep.

Front

What is a vertical translation of a graph?

Back

A vertical translation moves the graph up or down without changing its shape. For example, adding a constant to a function shifts it up, while subtracting shifts it down.

Front

What is the effect of multiplying a function by a negative number?

Back

Multiplying a function by a negative number reflects the graph across the x-axis.

Front

What does the term 'parent function' refer to?

Back

Front

What does it mean to translate a graph horizontally?

Back

Front

What is the significance of the y-intercept in a linear function?

Back

Front

How do you determine the slope of a line from its equation?

Back

Front

What happens to the graph of a function when it is stretched vertically?

Back

When a function is stretched vertically, the y-values are multiplied by a factor greater than 1, making the graph steeper.