Linear Transformations (Day 1) 2024

Front

What is the linear parent function?

Back

Front

Describe the transformation of the function g(x) = f(x) - 3 compared to the linear parent function f(x) = x.

Back

g(x) is shifted down 3 units.

Front

If the graph of f is transformed to g, and g is shifted up 6 units, what is the relationship between the two graphs?

Back

Graph g is shifted up 6 units.

Front

What does a vertical translation up 8 units mean for a function compared to its parent function?

Back

The function is moved 8 units higher on the graph.

Front

What does a vertical translation down 9 units mean for a function compared to its parent function?

Back

The function is moved 9 units lower on the graph.

Front

What is the effect of multiplying the linear parent function by a factor greater than 1?

Back

The graph becomes steeper.

Front

What is the effect of multiplying the linear parent function by a factor between 0 and 1?

Back

The graph becomes less steep.

Front

What is the general form of a linear function?

Back

Front

How does changing the slope (m) of a linear function affect its graph?

Back

Changing the slope affects the steepness and direction of the line.

Front

What does the y-intercept (b) represent in a linear function?

Back

The y-intercept is the point where the graph crosses the y-axis.