Learn how to write the equation of a parabola given the vertex and a point

The video tutorial explains how to write an equation in vertex form, using the components H and K. It demonstrates solving for the variable 'a' by substituting known values into the equation. The tutorial also covers converting the vertex form equation into standard form by expanding it, providing a step-by-step guide to ensure understanding.

What are the components needed to write a quadratic equation in vertex form?

• a, b, c

• a, h, k

• x, y, z

• p, q, r

How do you solve for 'a' in the vertex form equation?

• By guessing the value

• By using the quadratic formula

• By substituting known values of x, y, h, and k

• By graphing the equation

What is the next step after finding the value of 'a' in the vertex form?

• Convert to standard form

• Substitute 'a' back into the vertex form equation

• Graph the equation

• Solve for x

What is the standard form of a quadratic equation?

• ax^2 + bx + c

• ax^2 + c

• a(x - h)^2 + k

• y = mx + b

What is a common mistake to avoid when expanding the squared term in vertex form?

• Forgetting to add the constant

• Using the wrong formula

• Incorrectly distributing the coefficient

• Assuming the squared term is linear