Exploring Function Transformations: a, h, k

What is the parent function for a quadratic equation?

• y = x^3

• y = x

• y = x^2

• y = sqrt(x)

What happens to the graph of a quadratic function when a negative sign is added in front of it?

• It shifts to the left

• It reflects across the x-axis

• It shifts to the right

• It reflects across the y-axis

How do the y-values change when a quadratic function is reflected across the x-axis?

• They remain the same

• They become positive

• They double

• They become negative

What does the h value in the vertex form of a quadratic function control?

• Horizontal shift

• Vertical shift

• Stretching

• Reflection

If the h value in the equation is negative, in which direction does the graph shift?

• Left

• Down

• Right

• Up

What does the k value in the vertex form of a quadratic function control?

• Reflection

• Vertical shift

• Stretching

• Horizontal shift

If the k value in the equation is positive, in which direction does the graph shift?

• Left

• Up

• Down

• Right

What effect does an a value greater than 1 have on the graph of a quadratic function?

• It makes the graph wider

• It makes the graph narrower

• It shifts the graph up

• It shifts the graph down

What is the term used to describe the effect of an a value less than 1 on the graph of a quadratic function?

• Reflection

• Horizontal shift

• Vertical stretch

• Vertical shrink

How do you graph a vertical stretch of a quadratic function?

• Multiply the y-values by the a value

• Multiply the x-values by the a value

• Add the a value to the x-values

• Add the a value to the y-values