Understanding Quadratic Equations in Vertex Form

What is the vertex form of a quadratic equation?

• y = ax^2 + k

• y = a(x + h)^2 + k

• y = a(x - h)^2 + k

• y = ax^2 + bx + c

In the vertex form y = a(x - h)^2 + k, what do 'h' and 'k' represent?

• The x-intercepts of the parabola

• The y-intercepts of the parabola

• The vertex of the parabola

• The axis of symmetry

How do you determine the value of 'a' in the vertex form of a quadratic equation?

• By using the y-intercept

• By plugging in a given coordinate

• By using the x-intercept

• By assuming it is always 1

What is the final equation derived in the video?

• y = -3.84(x - 3)^2 + 6

• y = -3.84(x + 3)^2 - 6

• y = -3.84(x + 3)^2 + 6

• y = 3.84(x + 3)^2 + 6

What does it mean if a parabola passes through the origin?

• The parabola has no x-intercepts

• The parabola is symmetrical about the y-axis

• The vertex is at the origin

• The point (0,0) is on the parabola