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turendRCalape
turendRCalape turendRCalape
  • 05-08-2016
  • Mathematics
Answered

What is the equation, in standard form, of a parabola that models the values in the table?


x~ -2 , 0 , 4

f(x)~ 1 , 5 , -59

Verified Answer :

Hussain514 Hussain514
  • 06-08-2016

f(x) = ax^2 + bx + c



f(0) = ax^2 + bx + c = 5, c = 5

f(-2) = 4a + -2b + 5 = 1 ----------(1)

f(4) =16a + 4b + 5 = -59 ----------(2)
4a -2b = -4
16a + 4b = -64 
16a + 4(-2-2a)= -64
16a - 8 - 8a = -64
8a = -56
a = 7
4a - 2b = -4 
28 - 2b = -4
b = 16

f(x) = 7x^2 + 16x + 5

Answer Link
shollins
shollins shollins
  • 09-06-2021

Answer:

f(x) = 7x^2 + 16x + 5

Step-by-step explanation:

I just did it

Answer Link

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