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stich3 [128]
2 years ago
14

50 POINTS PLZ HELP NEED THIS DONE ASAP

Mathematics
1 answer:
solmaris [256]2 years ago
8 0

Answer-

the standard form of the function is,

f(x)=-\frac{1}{2}x^2+6x+45

<u>Solution-</u>

The standard form of the function is,

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

Taking the points as (0, 45), (2, 55), (4, 61)

Then putting (0, 45) in the equation,

\Rightarrow 45=a(0)^2+b(0)+c\\\\\Rightarrow c=45

Then putting (2, 55) with the value of c in the equation,

\Rightarrow 55=a(2)^2+b(2)+45

\Rightarrow 4a+2b=10 -------1

Then putting (4, 61) with the value of c in the equation,

\Rightarrow 61=a(4)^2+b(4)+45

\Rightarrow 16a+4b=16 ------ 2

Solving equation 1 and 2, we get,

\Rightarrow a=-\frac{1}{2},\ b=6

Putting the values of a, b, c in the standard form,

f(x)=-\frac{1}{2}x^2+6x+45


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