Modified transformation of linear equations

Front

What is the linear parent function?

Back

The linear parent function is f(x) = x.

Front

What does the transformation g(x) = f(x + 3) represent?

Back

g(x) is shifted left 3 units.

Front

How does the equation y = (x) + 7 transform the parent function?

Back

It shifts the graph up 7 units.

Front

Is the function y = 2x + 3 linear or non-linear?

Back

Linear.

Front

If the graph of f(x) = x is shifted 7 units up and 5 units left, what is the new function?

Back

f(x) = (x + 5) + 7.

Front

What does the transformation y = f(x - 4) indicate?

Back

It shifts the graph right by 4 units.

Front

What is the effect of adding a positive number to the function f(x)?

Back

It shifts the graph upward.

Front

What is the effect of subtracting a positive number from the function f(x)?

Back

It shifts the graph downward.

Front

What does the transformation g(x) = f(x) - 2 represent?

Back

g(x) is shifted down 2 units.

Front

What does the transformation g(x) = f(x + 5) indicate?

Back

g(x) is shifted left 5 units.