SOLUTION: &#8203;(a) For the parabola y= -5x^2+7x+1 find the vertex. &#8203;(b) Does the vertex correspond to the highest point or the lowest point on the&#8203; 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.

SOLUTION: &#8203;(a) For the parabola y= -5x^2+7x+1 find the vertex. &#8203;(b) Does the vertex correspond to the highest point or the lowest point on the&#8203; graph?

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?