Polynomial Transformations

Front

Describe the transformation of the graph y = (x - 3)³ - 2

Back

Right 3, Down 2

Front

Describe the transformation of the graph y = -2(x + 5)³

Back

Stretch by 2, Reflected over x-axis, Left 5

Front

Which transformation maps the graph of f(x) = x² to g(x) = (x + 4)²?

Back

A translation shifting f(x) 4 units to the left

Front

In the equation f(x)=1/2(x+9)²-1, what happens to the parabola?

Back

Vertical compress by 1/2, left 9, down 1

Front

Describe the transformation of the graph y = x³ + 6

Back

Up 6

Front

What is a polynomial transformation?

Back

A change in the position, size, or orientation of the graph of a polynomial function.

Front

What does a positive coefficient in front of a polynomial indicate?

Back

The graph opens upwards (for even degrees) or maintains the same direction (for odd degrees).

Front

What does a negative coefficient in front of a polynomial indicate?

Back

The graph opens downwards (for even degrees) or reverses direction (for odd degrees).

Front

What effect does adding a constant to a polynomial function have?

Back

It translates the graph vertically.

Front

What effect does subtracting a constant from a polynomial function have?

Back

It translates the graph vertically down.