Respuesta :

Answer:

See below

Step-by-step explanation:

Quadratic function is in general form of:

  • y = ax^2 + bx + c

The function has a minimum if a > 0 and maximum if a < 0

The minimum or maximum point is a vertex of the graph

  • A vertex is the point x = -b/2a

When b = 0, the min or max point equals to value of c.

  • 33. It has maximum of -1
  • 34. It has minimum of 7
  • 35. It has minimum at x = - 8/4 = -2

f(-2) = 2*(-2)^2 + 8(-2) + 7 = 8 - 16 + 7 = - 1

  • 36. It has maximum at x = -18/2(-3)= 3

g(3) = -3*3^2 + 18*3 - 5 = -27 + 54 - 5 = 22

  • 37.  It has minimum at x = - 6/(2*3/2) = - 2

f(-2) = 3/2*(-2)^2 + 6(-2) + 4 = - 6 - 12 + 4 = - 14