Modified transformation of linear equations

Front

What is the parent function of linear equations?

Back

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

Front

What happens to the graph of f(x) = x when it is transformed to f(x) = x - 7?

Back

The graph is shifted down 7 units.

Front

Describe the transformation of g(x) = f(x + 6) from the parent function f(x) = x.

Back

g(x) is shifted left 6 units.

Front

What does the transformation g(x) = f(x) - 6 do to the graph of f(x) = x?

Back

g(x) is shifted down 6 units.

Front

If the graph of f(x) is shifted down 4 units, what is the new function?

Back

The new function is g(x) = f(x) - 4.

Front

How do you determine if a function is linear or nonlinear?

Back

A function is linear if it can be represented by a straight line; otherwise, it is nonlinear.

Front

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

Back

Adding a positive number shifts the graph up.

Front

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

Back

Subtracting a positive number shifts the graph down.

Front

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

Back

g(x) is shifted right 3 units.

Front

If f(x) = x and g(x) = 2f(x), what transformation occurs?

Back

The graph is stretched vertically by a factor of 2.