SOLUTION: The function of g is defined as g(x)=ax^2+b where a and b are constants. If g(2)=3 and g(-3)=13, find the values of a and b.
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-> SOLUTION: The function of g is defined as g(x)=ax^2+b where a and b are constants. If g(2)=3 and g(-3)=13, find the values of a and b.
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Question 734412: The function of g is defined as g(x)=ax^2+b where a and b are constants. If g(2)=3 and g(-3)=13, find the values of a and b. Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! ok, here we go
3 = 2^2a+b and
13 = -3^a+b, we know have two equations
3 = 4a+b and
13 = 9a+b
using second equation we have b = 13-9a
and then substitue in equation one for b
3 = 4a +13 - 9a
solve for a
-5a = -10 and a = 2
substitute a = 2 in second equation and we get
13 = 18 + b
b = -5
to recap, the solution is
a=2 and b=-5
