How to find the y of the vertex. How can I find the y? The x intercepts are (-1,0) (5,0) and the y intercept is (0,5) and the x of the vertex is 2.

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Jaylee Dodson · Accepted Answer

From the roots (  x intercepts), you can write the equation of the parabola as:   y  =  a  (  x  +  1  )  (  x  −  5  )When   x  =  0 (this is the   y intercept),   a  (  −  5  )  =  5, so   a  =  −  1.So   y  =  −  (  x  +  1  )  (  x  −  5  )Set   x  =  2 for the vertex (turning point) to find   y  =  9.(From what you wrote, I assume you know how to find the   x coordinate of the vertex or turning point, but just for completeness, it is the arithmetic mean (average) of the two real roots, so here it is simply             −      1      +      5        2    =  2).

Zion Wheeler · Accepted Answer

Since  x  =  −  1 and   x  =  5 are zeros of your parabola, your parabola is  y  =  a  (  x  +  1  )  (  x  −  5  )Since your   y-intercept is   (  0  ,  5  ) you get  5  =  a  (  1  )  (  −  5  )which implies  a  =  −  1Thus your equation is  y  =  −  (  x  +  1  )  (  x  −  5  )You may write it in standard form  y  =  −      x    2    +  4  x  +  5

How to find the y of the vertex. How can

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