Question 413114
  <pre><font face = "Times" size = 3 color = "indigo"><b>
Hi
1) Explain how you might go about constructing a quadratic equation whose solutions are -5 and 7.
  The factor theorem states that a polynomial f(x) has a factor (x &#8722; k) if and only if f(k) = 0. 
 f(x) = (x+5)(x-7) = 0
 f(x) = x^2 -2x -35

2) Effects of coeficient a on graph of y = a^2 + bx + c
  a > 0  Parabola opens upward (blue)
For example: x^2 + 2x + 1
   a < 0  Parabola opens downward (green)
For example: - x^2 + 2x + 1 
{{{drawing(300,300,   -6, 6, -6, 6, grid(1),
graph( 300, 300, -6, 6, -6, 6,0,-x^2 + 2x+1,x^2 + 2x+ 1))}}}