SOLUTION: If you know that the vertex of a quadratic is at (3, 16) and one of the zeros is at (-1, 0) What is the coordinate of the other zero? Bonus: What is the equation of th

Algebra ->  Equations -> SOLUTION: If you know that the vertex of a quadratic is at (3, 16) and one of the zeros is at (-1, 0) What is the coordinate of the other zero? Bonus: What is the equation of th      Log On


   

Question 1167812: If you know that the vertex of a quadratic is at (3, 16) and one of the zeros is at (-1, 0)
What is the coordinate of the other zero?




Bonus: What is the equation of the quadratic created by the vertex and zero’s above



How can you tell if a parabola opens up or down? Give a minimum of two (2) ways.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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vertex of a quadratic is at (3, 16) and one of the zeros is at (-1, 0)
What is the coordinate of the other zero?
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If want vertical symmetry axis, y=a%28x-h%29%5E2%2Bk
y=a%28x-3%29%5E2%2B16
-
0=a%28-1-3%29%5E2%2B16
16a%2B16=0
a=-1
-
highlight%28y=-%28x-3%29%5E2%2B16%29

FOR THE OTHER ZERO: symmetry axis x=3, is 4 units away from one of the zeros given (-1,0). The OTHER zero is at x=7. Other zero is (7,0).