Transformations of Quadratic Functions Quiz

What is the effect of a positive k value in the function f(x) = x² + k?

• The graph moves downward.

• The graph moves upward.

• The graph shifts to the right.

• The graph shifts to the left.

If the function g(x) = (x - h)² represents a horizontal translation, what happens when h is negative?

• The graph shifts to the left.

• The graph shifts to the right.

• The graph moves downward.

• The graph moves upward.

How does the graph of g(x) = (x + 1)² + 1 move?

• One unit down and one unit right.

• One unit up and one unit left.

• One unit down and one unit left.

• One unit up and one unit right.

What is the result of combining a vertical translation with a horizontal translation?

• The graph only shifts vertically.

• The graph only shifts horizontally.

• The graph shifts both vertically and horizontally.

• The graph does not shift.

What does a negative h value in g(x) = (x - h)² indicate?

• The graph moves upward.

• The graph moves downward.

• The graph shifts to the left.

• The graph shifts to the right.

What is the effect of a dilation with a factor greater than 1 on the graph of a quadratic function?

• The graph shifts downward.

• The graph shifts upward.

• The graph becomes narrower.

• The graph becomes wider.

In the function f(x) = ax², what does a value between 0 and 1 indicate?

• Horizontal compression.

• Horizontal stretching.

• Vertical compression.

• Vertical stretching.

What happens to the graph of f(x) = -x²?

• It shifts downward.

• It reflects across the x-axis.

• It reflects across the y-axis.

• It shifts upward.

How does the graph of g(x) = -3x² + 1 change?

• It compresses vertically and shifts up.

• It stretches vertically and shifts down.

• It reflects across the x-axis and shifts up.

• It reflects across the y-axis and shifts down.

In the context of quadratic transformations, what does a reflection do?

• It stretches the graph vertically.

• It flips the graph across an axis.

• It shifts the graph downward.

• It shifts the graph upward.