M1T3 Transformations of Polynomial Functions (Math 3)

Front

What transformation occurs when f(x) is replaced with f(x + c)?

Back

Horizontal shift to the left by c units.

Front

What transformation occurs when f(x) is replaced with f(x - c)?

Back

Horizontal shift to the right by c units.

Front

What transformation occurs when f(x) is replaced with f(x) + c?

Back

Vertical shift up by c units.

Front

What transformation occurs when f(x) is replaced with f(x) - c?

Back

Vertical shift down by c units.

Front

What does a negative sign in front of f(x) indicate?

Back

Reflection over the x-axis.

Front

What does a negative sign in front of x in f(-x) indicate?

Back

Reflection over the y-axis.

Front

What is the effect of multiplying f(x) by a factor greater than 1?

Back

Vertical stretch.

Front

What is the effect of multiplying f(x) by a factor between 0 and 1?

Back

Vertical shrink.

Front

How do you represent a vertical stretch by a factor of k?

Back

f(x) becomes k * f(x).

Front

How do you represent a vertical shrink by a factor of k?

Back

f(x) becomes (1/k) * f(x).