SOLUTION: How do you find the vertex of these two parabolas: a) x=y^2+4y+2 and b) y=(x+1)^2-3 Thank you!

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: How do you find the vertex of these two parabolas: a) x=y^2+4y+2 and b) y=(x+1)^2-3 Thank you!      Log On


   

Question 1081642: How do you find the vertex of these two parabolas: a) x=y^2+4y+2 and b) y=(x+1)^2-3
Thank you!
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
(b), is written in the form which shows you the vertex. Just identify it from the form!


(a), you would complete the square, IF necessary to put into same form as part (b);

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Complete the square





Read the center coordinates directly using the standard form definition of a parabola with a horizontal axis and a vertex at :



Rewrite the completed square form



to help keep your signs straight.

John

My calculator said it, I believe it, that settles it