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What are the coordinates of the vertex of the table? Is it a minimum or a maximum?

A. (-4, 1); minimum
B. (-2, -3); minimum
C. (-2, -3); maximum
D. (1, 0); maximum

What are the coordinates of the vertex of the table Is it a minimum or a maximum A 4 1 minimum B 2 3 minimum C 2 3 maximum D 1 0 maximum class=

Respuesta :

mreijepatmat
You can reconstitute the equation of this quadratic function
of te form:y = ax² + bx + c, by giving x and y the various values in the table. For instance: for x = 0, y =1. Plug 0 & 1 in the equation:1 = a(0)² +b(0) + c → c = 1 . You continue with the other values and you will find :
a-b = -3 and
4a - 2b =- 4
Solving it will give y = x² +4x +1
This is a parabola opening upward (because a >0) with an axis of symmetry = -b/2a or x= -2 and a minimum y = (-2)² -2(4)+1 = -3; hence
MINIMUM (-2, -3).
N.B: Your various answers don't mention my result. However in your
C. Answer they are claiming Maximum (-2,-3) and it's wrong it should be MINIMUM.
Please refer to your teacher since I am sure of the result
calculista

Answer:

The answer is the option B

[tex](-2,-3)[/tex] is a minimum

Step-by-step explanation:

using a graphing tool

plot the ordered pairs of the table

Observing the points in the graph the less value of y is equal to [tex]-3[/tex]

therefore

the point [tex](-2,-3)[/tex] is a minimum

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