Exploring Quadratic Function Transformations

What is the parent function of a quadratic?

• y = x^3

• y = x^2

• y = x + 2

• y = 2x

What effect does multiplying a quadratic function by a number greater than 1 have?

• Reflection

• Stretch

• No change

• Shrink

What does a negative multiplier cause in a quadratic graph?

• Stretch

• Vertical shift

• Horizontal shift

• Reflection

What happens to a graph when you add a positive number to the quadratic function?

• Shifts down

• Shifts up

• Shifts left

• Shifts right

How does subtracting a number from a quadratic function affect its graph?

• No change

• Shifts down

• Shifts up

• Shifts right

What is the result of a horizontal shift to the right in a quadratic function?

• Moves the vertex left

• No movement

• Moves the vertex up

• Moves the vertex right

What does the vertex represent in a quadratic graph?

• The intersection with y-axis

• The point of symmetry

• The lowest point

• The highest point

How do you find the new vertex after a horizontal shift?

• Subtract the shift from the x-coordinate

• Add the shift to the x-coordinate

• None of the above

• Multiply the x-coordinate by the shift

What is the effect of combining a stretch and a vertical shift on a quadratic graph?

• The graph becomes wider and shifts down

• No change to the graph

• The graph becomes narrower and shifts up

• The graph becomes narrower and shifts down

Which transformation involves changing the base of the quadratic function?

• Horizontal shift

• Stretch

• Vertical shift

• Reflection