Please Help Me. There will be a medal for those who will answer this question.

Describe the ways of recognizing a quadratic function. In:
a. Graph
b. Equation
c. Table Values

Good Luck. And Thanks.

Question

Please Help Me. There will be a medal for those who will answer this question.

Describe the ways of recognizing a quadratic function. In:
a. Graph
b. Equation
c. Table Values

Good Luck. And Thanks.

anonymous · Answer

Its a table value

welshfella · Answer

The graph will be a parabola
looks like|dw:1442316160586:dw|

welshfella · Answer

- which might also  open downwards  or sideways
The curve is symmetrical about a line passing through its vertex

welshfella · Answer

b the degree of a quadratic equation will be 2. Meaning in will contain a squared variable as its highest exponent.

eg   x^2 = 0 ,   x^2 - x - 10 = 0
3y^2 + 4y - 7 = 0

welshfella · Answer

c  Table 

the values of f(x)   will increase/decrease by an increasing amount  and the increases will be in arithmetic progression.

(I'm not sure if this is always the case)

welshfella · Answer

an example would be  f(x) = x^2 + 2

 x             f(x)
--            ---
 1               3
 2                6
 3               11
 4                18


as you can see the differences in value of f(x)  are 3 , 5 ,  7  which is  an AS.