Transforming Quadratic Functions

Front

What is the transformation of y = (x + 7)²?

Back

Shift LEFT.

Front

What is the transformation of y = 3(x - 3)² + 3?

Back

Narrow, Right, Up.

Front

What does the equation y = f(x) - 5 represent?

Back

The graph of y = f(x) was shifted down 5 units.

Front

Which equation describes shifting f(x)=x² two units to the right?

Back

(x - 2)².

Front

What transformations occur in f(x) = (x-3)² + 5?

Back

Right 3 and up 5.

Front

What does a positive value in front of (x - h)² indicate?

Back

The parabola opens upwards.

Front

What does a negative value in front of (x - h)² indicate?

Back

The parabola opens downwards.

Front

How does the value of 'h' in (x - h)² affect the graph?

Back

It shifts the graph horizontally; right if h is positive, left if h is negative.

Front

How does the value of 'k' in (x - h)² + k affect the graph?

Back

It shifts the graph vertically; up if k is positive, down if k is negative.

Front

What is the effect of multiplying (x - h)² by a value greater than 1?

Back

The graph becomes narrower.