auntydlurlay auntydlurlay
  • 29-05-2020
  • Mathematics
contestada

Write a quadratic function that is concave up with only one x-intercept at 32.

Respuesta :

tramserran
tramserran tramserran
  • 29-05-2020

Answer: f(x) = (x - 32)²

Step-by-step explanation:

y = a(x - p)(x - q)

  • a: vertical stretch
  • p & q: x-intercepts

Since it is given that there is only one x-intercept at x = 32,

then p = 32 and q = 32.  

--> y = a(x - 32)(x - 32)

You can choose any POSITIVE value for "a" (since it is concave UP)

I chose a = 1     --> y = 1(x - 32)²

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