1) A quadratic function is an equation in the form of: f(x) = ax^2 + bx + c (a, b and c are not equal to 0)

example: 5x^2 + 3x + 1 = o

2) When the sliders are at a=1, b=0, and c=o, the curve of the function is exactly symmetrical on the positive side and the negative side.

3) A) When a<0, the curve’s maximum point is (0,0) , and curves only in quadrants 3 and 4 (negative)

B) When a>0, the curve’s minimum point is (0,0) , and curves only in quadrants 1 and 2 (positive)

C) When -1< a , or a<1, the same rules apply as in A & B, but the curve widens from side to side

D) When a>1, or a<-1, the curve starts to get skinnier from side to side

4) Statement 1: The vertex will be the minimum point if a>0

Statement 2: The vertex will be the maximum point if a<0

5) When a and c are constant, and b changes, the curve turns to a line and adjusts as you slide

6) When a and b are constant, and c changes, it’s a horizantal line that moves up and down as you slide

Part 2:

example 1. x+2=y

example 2. (x+1)(x-1) = x^2 -1

example 3. x^2 + 3