1. A quadratic function is a function that can be described by an equation of the form f(x) = ax² + bx + c, where a ≠ 0. Example would be 4x² + 6x + 1.

2. When a=1, b=0, and c=0, the graph is symmetrical. You can cut the graph straight down the middle and each side would be the same. It is like a mirrored image.

3. A) when a<0, the graph turns upside down (negative) and gets a thinner curve. It has a maximum point of (0,0).

B) when a>0, the graph gets a thinner or larger curve depending on the number. If a is 9 then the curve is thinner and closer to the Y axis. If a is 3, the curve is wider and farther from the Y axis. It has a minimum point of (0,0). The graph is right side up (positive).

C) when -1<a<1, the graph is a straight horizontal line along the X axis.

D) when a>1, the curve gets closer to the Y axis and gets more narrow

4. The vertex will be the maximum point when a<0, the vertex will be the minimum point when a>0

5. when a and c are consistent and b changes, the line slides vertically/on an angle as the value of b changes.

6. when a and b are consistent and c changes, the line slides horizontally up and down as the value of c changes.

PART 2

y=2.4x²

-2x²+2

y=x²+2