13.2 Transformations of Quadratic Functions

Front

What is the transformation of y = x² + 4?

Back

Shift UP

Front

What is the transformation of y = (x - 4)²?

Back

Shift RIGHT

Front

What transformation changes f(x) = x² to g(x) = (x + 4)²?

Back

A horizontal translation 4 units to the left

Front

Match the equation y = (x - 2)² + 2 to its description.

Back

Right 2 and up 2

Front

What transformations occurred to change f(x) to g(x) if g(x) is shifted left and down?

Back

Horizontal shift left and vertical shift down

Front

What is the effect of adding a constant to a quadratic function?

Back

It shifts the graph vertically.

Front

What does the equation y = (x + 3)² represent?

Back

A horizontal shift 3 units to the left.

Front

How does the graph of y = -x² differ from y = x²?

Back

It is reflected over the x-axis.

Front

What is the transformation of y = x² - 5?

Back

Shift DOWN 5 units.

Front

What does the equation y = (x - 1)² - 3 represent?

Back

A horizontal shift 1 unit to the right and a vertical shift down 3 units.