SOLUTION: What is the equation of the parabola determined by the given conditions: axis horizontal, vertex on Y-axis, and passing through (2,4) and (8,-2)?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: What is the equation of the parabola determined by the given conditions: axis horizontal, vertex on Y-axis, and passing through (2,4) and (8,-2)?      Log On


   

Question 1045382: What is the equation of the parabola determined by the given conditions: axis horizontal, vertex on Y-axis, and passing through (2,4) and (8,-2)?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x=a%28y-k%29%5E2%2Bh-------basic standard form, if symmetry axis is horizontal

x=a%28y-k%29%5E2--------- no displacement of vertex on x-axis because vertex ON THE y-AXIS

a%28y-k%29%5E2=x
a=x%2F%28y-k%29%5E2

system%28a=2%2F%284-k%29%5E2%2Ca=8%2F%28-2-k%29%5E2%29-------two given points used to form system; solve for a and k.