karinafranquiz27
karinafranquiz27 karinafranquiz27
  • 03-02-2020
  • Mathematics
contestada

what function has a vertex at (5,4) and contains the point (-1,40)?

Respuesta :

PollyP52 PollyP52
  • 03-02-2020

Answer:

f(x) =  (x - 5)^2 + 4.

Step-by-step explanation:

The vertex form  of a parabola is

f(x) = a(x - h)^2 + k  where the vertex is at (h, k) and a is some constant.

So here we have:

f(x) =  a(x - 5)^2 + 4

Now when x = -1 , f(x)  is 40 so:

40 = a(-1-5)^2 + 4

36a = 40 - 4 = 36

a = 1.

So the function is f(x) =  (x - 5)^2 + 4

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