SOLUTION: determine the equation of a parabola with an x intercept -2, y intercept -10 and passing through point (4,18)

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Question 959491: determine the equation of a parabola with an x intercept -2, y intercept -10 and passing through point (4,18)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The parabola has the points (-2,0) and (0,-10) along with (4,18). Specific equations can be made for each of them.

system%282%28-2%29%5E2%2Bb%2A%28-2%29%2Bc=0%2C0%2B0%2Bc=-10%2Ca%2A4%5E2%2Bb%2A4%2Bc=18%29

system%284a-2b%2Bc=0%2Cc=-10%2C16a%2B4b%2Bc=18%29
Eliminate c through substitution,

system%284a-2b-10=0%2C16a%2B4b-10=18%29
...and you can finish finding a and b.

Once a and b (and already found c), solved, you can formulate the equation in general form.