Graphing Quadratic Functions from Vertex Form

This video tutorial explains the vertex form of a quadratic equation, focusing on how to identify the vertex of a parabola using the H and K values. It covers the effects of the 'a' value on the parabola's orientation and shape, including vertical stretch and compression. The tutorial provides step-by-step instructions for graphing parabolas and includes examples with different parameters to illustrate these concepts.

What is the vertex of the parabola given by the equation y = 2(x - 3)^2 - 4?

• (3, -4)

• (2, -4)

• (-2, 4)

• (-3, 4)

If the equation of a parabola is y = 1/3(x + 4)^2 + 5, what is the vertex?

• (-4, 5)

• (4, -5)

• (-4, -5)

• (4, 5)

How does the parabola open if the 'a' value is positive?

• To the right

• To the left

• Upwards

• Downwards

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

• It shifts to the right

• It shifts to the left

• It becomes narrower

• It becomes wider

Where is the vertex of the parabola y = x^2?

• (2, 2)

• (-1, -1)

• (1, 1)

• (0, 0)

What is the axis of symmetry for the parabola y = x^2?

• x = 0

• y = 0

• x = 1

• y = 1

For the equation y = -1(x - 2)^2 + 3, what is the vertex?

• (2, 3)

• (-2, -3)

• (2, -3)

• (-2, 3)

How does the parabola open if the 'a' value is negative?

• To the right

• To the left

• Upwards

• Downwards

What is the effect of a vertical stretch on a parabola?

• It makes the parabola wider

• It shifts the parabola down

• It makes the parabola narrower

• It shifts the parabola up

For the equation y = 1/2(x - 0)^2 + 6, what is the vertex?

• (0, -6)

• (6, 0)

• (-6, 0)

• (0, 6)