Transformations of Quadratic Functions

What is a transformation in the context of quadratic functions?

• A change in the color of the graph

• A movement of a figure on a surface

• A rotation of the graph

• A change in the equation's coefficients

What happens to the graph of y = x^2 + k when k > 0?

• The graph shifts to the left

• The graph moves downward

• The graph shifts to the right

• The graph moves upward

If k < 0 in the equation y = x^2 + k, what is the effect on the graph?

• The graph moves upward

• The graph moves downward

• The graph shifts to the left

• The graph shifts to the right

How does the graph of y = (x + h)^2 change when h < 0?

• It shifts to the left

• It shifts to the right

• It moves downward

• It moves upward

What is the effect of subtracting a positive number inside the parentheses in y = (x - h)^2?

• The graph shifts to the left

• The graph shifts to the right

• The graph moves upward

• The graph moves downward

What does a vertical stretch do to the graph of a quadratic function?

• Makes it wider

• Makes it narrower

• Shifts it upward

• Shifts it downward

If the absolute value of 'a' in y = ax^2 is between 0 and 1, what happens to the graph?

• It becomes wider

• It shifts to the right

• It becomes narrower

• It shifts to the left

What transformation occurs when 'a' is negative in y = ax^2?

• Vertical shrink

• Reflection over the x-axis

• Reflection over the y-axis

• Vertical stretch

In vertex form y = a(x - h)^2 + k, what does the 'h' value represent?

• Vertical shift

• Horizontal shift

• Vertical shrink

• Vertical stretch

In vertex form y = a(x - h)^2 + k, what does the 'k' value represent?

• Horizontal shift

• Vertical shrink

• Vertical shift

• Vertical stretch