SOLUTION: ​(a) For the parabola y= -5x^2+7x+1 find the vertex. ​(b) Does the vertex correspond to the highest point or the lowest point on the​ graph?

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Question 1057887: ​(a) For the parabola y= -5x^2+7x+1 find the vertex.
​(b) Does the vertex correspond to the highest point or the lowest point on the​ graph?
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The vertex is a maximum as is understood from the negative coefficient on the leading term.

Learn this: video - change quadratic equation from general form into standard form, so you can read the vertex
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

​(a) For the parabola y= -5x^2+7x+1 find the vertex.
​(b) Does the vertex correspond to the highest point or the lowest point on the​ graph?
x-coordinate of vertex: 

y-coordinate of vertex:  ------ Substituting  for x in original equation

Vertex of parabola: 

As indicated by the LEADING coefficient being < 0, the parabola opens downward and will have a MAXIMUM vertex, which is its highest point. 

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
 .

On finding maximum/minimum of a quadratic function and

on finding vertex of a parabola see the lessons



    - HOW TO complete the square to find the minimum/maximum of a quadratic function



    - Briefly on finding the minimum/maximum of a quadratic function



    - HOW TO complete the square to find the vertex of a parabola



    - Briefly on finding the vertex of a parabola



in this site, specially written for you.





 

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