Transformations of Quadratic Functions with Desmos

What happens to a quadratic function when a positive number is added outside its parentheses?

• It shifts to the right.

• It shifts upwards.

• It flips over the x-axis.

• It becomes wider.

What is the result of subtracting a number outside the parentheses of a quadratic function?

• It becomes narrower.

• It flips over the y-axis.

• It shifts to the left.

• It shifts downwards.

Adding a negative number inside the parentheses of a quadratic function causes it to move in which direction?

• Down

• Up

• Right

• Left

How does adding a number inside the parentheses of a quadratic function affect its graph?

• Moves it left

• Moves it down

• Moves it right

• Moves it up

What transformation occurs when you subtract a number from x inside the parentheses of a quadratic function?

• Horizontal shift left

• Vertical shift down

• Vertical shift up

• Horizontal shift right

What effect does multiplying the quadratic function by a number greater than one outside the parentheses have?

• Horizontal stretch

• Vertical compression

• Vertical stretch

• Horizontal compression

Multiplying by a number less than one inside the parentheses results in what kind of transformation?

• Horizontal stretch

• Horizontal compression

• Vertical stretch

• Vertical compression

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

• Makes it narrower

• Shifts it downwards

• Makes it wider

• Shifts it upwards

What does a negative sign outside the parentheses of a quadratic function indicate?

• Horizontal shift

• Vertical shift

• Reflection over the y-axis

• Reflection over the x-axis

A reflection over the x-axis changes the quadratic function's range to what?

• y is greater than or equal to the minimum value

• y is less than or equal to the maximum value

• y is greater than the maximum value

• y is less than the minimum value