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By calculating the discriminant, match each parabola to the equation.

  1. y=2x2−x+1

  2. y=9x2+12x+4

  3. y=x2+x−2

Three parabolas

Calculate the product of the primes corresponding to your matching and give your answer below

fgh
(a)235
(b)71113
(c)171923
Hint

The number of roots is equal to the number of x-intercepts.

Solution

  1. b2−4ac=−7<0 so this must be g

  2. b2−4ac=0 so this must be f

  3. b2−4ac=9>0 so this must be h

For our answer, we have 3×7×23=483.