1. What must you set a quadratic function equal to in order to solve it?
0
ax^2 + bx + c = 0
2. Explain how to complete the square to solve a quadratic function.
Arrange the quadratic into the standard format:
ax^2 + bx + c = 0
Write out the initial bracket:
(x + b/2)^2
Expand the initial bracket:
(x + b/2)^2 = ax^2 + b + b^2
Compare b^2 to c and adjust the equation:
c - b^2 = d
(x + b/2)^2 + d
3. What is the relationship between a directrix and focus to the graph of a quadratic function known as a parabola?
A parabola is the graph of a quadratic function. (See Attachment). It is also the set of all points whose distance is from the focus is equal to the distance from the directrix.
