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Please i will give you 100 points

Please i will give you 100 points-example-1
User Hserusv
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1 Answer

8 votes

Explanation:

we have 2 unknown variables : b, c

and we have 2 points on the curve that we can use to set up 2 equations to solve for the 2 variables :

0 = 2² +b×2 + c = 4 + 2b + c

-14 = 0² + b×0 + c = c

so, we can use c = -14 in the first equation and get

0 = 4 + 2b - 14 = 2b - 10

10 = 2b

b = 5

so, our function is

y = x² + 5x - 14

the x coordinate of the turning point or vertex of the parabola (if the parabola opens up or down, like in our case here) is

x = -b/2a = -5/(2×1) = -5/2

the x-coordinate of the turning point is -5/2 or -2.5.

User Clarkie
by
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