Exploring Quadratic Transformations and Their Effects

What happens to a parabola when the 'a' value in the equation is increased?

• It becomes wider.

• It shifts to the left.

• It becomes narrower.

• It shifts to the right.

What is the effect of a negative 'a' value on a parabola?

• Horizontal shift to the left

• Vertical stretch

• Vertical compression

• Reflection over the x-axis

What transformation occurs when the 'a' value changes from positive to negative?

• Reflection over the x-axis

• Vertical stretch

• Vertical compression

• Horizontal shift

How does the parabola transform when the 'a' value approaches zero?

• It becomes narrower

• It shifts upwards

• It shifts downwards

• It becomes wider

If a parabola equation includes (x - 3)^2, in which direction does the parabola shift?

• 3 units down

• 3 units to the left

• 3 units to the right

• 3 units up

What is the result of subtracting a number inside the parentheses of a parabola's equation?

• Shifts upwards

• Shifts to the right

• Shifts to the left

• Shifts downwards

If the equation changes to include (x + 4)^2, how does the parabola shift?

• 4 units down

• 4 units up

• 4 units to the right

• 4 units to the left

What does a positive number outside the parentheses in a parabola's equation indicate about its vertical shift?

• Shifts up

• Shifts to the right

• Shifts down

• Shifts to the left

What does a vertical shift upwards indicate about the number outside the parentheses?

• It is positive

• It is negative

• It is zero

• It is undefined

What does a negative number outside the parentheses indicate about the parabola's vertical shift?

• Shifts to the right

• Shifts to the left

• Shifts downwards

• Shifts upwards