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muminat
3 years ago
10

Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20). Show your work.

Mathematics
1 answer:
Ivahew [28]3 years ago
6 0
Ok... so this question can be solved by using simultaneous equations. 

Use the general from of a parabola 

y = ax^2 + bx + c

you know the value of c, the y-intercept... y = -4

which means the equation is 

y = ax^2 + bx - 4

now use the other 2 points to get 2 equations in 2 unknowns

(-2, -20) just substitute 

-20 = (-2)^2a + (-2)b - 4  ~~~or~~~ -20 = 4a - 2b - 4

this becomes

4a - 2b = -16

now the other equation using (4, -20)

The simplified form is 




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