SOLUTION: Find the parabola that passes through points (3.5,10), (11,60), and (15,90)

Question 939490: Find the parabola that passes through points (3.5,10), (11,60), and (15,90)
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Find the parabola that passes through points (3.5,10), (11,60), and (15,90)

...we need to find coefficients , , and ; so, use given points and set the system of three quations
for point (3.5,10) we have

................eq.1

for point(11,60) we have

................eq.2

for point (15,90) we have

................eq.3

solve the system:
................eq.1
................eq.2
................eq.3
------------------------------------------------------substitute eq.1 from eq.2
................eq.2

...solve for

.............1a

substitute eq.2 from eq.3

................eq.3

...solve for

............2a
left sides in 1a and 2a are equal, so set right sides equal and solve for
...cross multiply

now find
............2a

now we can find
................eq.1

so, your equation is:

(3.5,10), (11,60), and (15,90)

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