Exploring Vertex Form of Quadratic Functions

What happens to the parabola when 'a' is greater than 1?

• It flips over the x-axis

• It moves to the right

• It becomes skinnier

• It becomes wider

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

• It shifts the parabola to the left

• It makes the parabola wider

• It reflects the parabola over the x-axis

• It moves the parabola up

How does 'h' affect the parabola's position?

• Makes it wider or skinnier

• Moves it horizontally in the opposite direction of its sign

• Reflects it over the y-axis

• Moves it vertically

What does 'k' in the vertex form represent?

• Horizontal shift

• Vertical stretch or compression

• Vertical shift

• Reflection over the x-axis

What is the correct first step in converting from vertex form to standard form?

• Add 'k' to the product

• Square the binomial

• Distribute the 'a' value

• Combine like terms

How do you correct an error when converting forms?

• Check the signs of your terms

• Graph both forms to compare

• Only check the 'a' value

• Start over from the beginning

What indicates a vertical stretch in a parabola?

• 'a' value greater than 1

• 'a' value less than 1

• Negative 'a' value

• 'h' value greater than 1

How does a negative 'h' value affect the parabola?

• Reflects it over the y-axis

• Shifts it right

• Shifts it left

• Makes it wider

What is the axis of symmetry in vertex form?

• y = a

• x = h

• y = k

• x = k

When converting to standard form, what is the final step?

• Combine like terms

• Distribute the 'a' value

• Graph the function

• Square the binomial