1. What is a Quadratic Function?
A quadratic function is in the form f(x) = ax2 + bx + c. A, b, and c are numbers that are not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas can be open upward or downward and vary in “width” or “steepness”, but they all have the same basic “U” shape.
2. a)This is a Quadratic Function:
b)This is not a Quadratic Function:
3. No matter what the two sides of the parabola are always symmetrical.
5. a) when a < 0 the parabola becomes negative
i) maximum point
b) when a > 0 the parabola becomes positive
ii) minimum point
c) when -1 < a > 1 the parabola becomes a straight line
d) when a > 1 or a < -1 the parabola becomes narrow
6. The relation ship between a negative and postive in a vertex
7. When a and b are constant and you change the value of c, the parabola moves up or
down the y axis.
Root = 0
Equation: y = 1×2 + x + -1
Roots = 1, -1
Equation: y = 1×2 + x -1
Roots = above the x axis
Equation: y = 1x 2 + x + 0.5