Find the QUADRATIc equation 100 POINTS PLS HELP (1,6),(2,19),(3,38),(4,63),(5,94)

Step-by-step explanation:

we are given some coordinates

(1,6),(2,19),(3,38),(4,63),(5,94)

we want to figure out the quadratic equation which passes those coordinates

notice that, the coordinates in quadratic sequence

we know that,

A sequence is quadratic if and only if it has second difference

recall that,

these formulas are necessary to figure out a,b and c

because we know that

Quadratic equation standard form:

therefore to figure out a,b and c these formulas are important

let's figure out a:

we got that 2nd difference is 6 thus

divide both sides by 2

let's figure out b:

by using the second formula we can figure out b

our and are 6 and 19 respectively

substitute:

simplify multiplication:

simplify substraction:

cancel 9 from both sides:

let's figure out c:

our is 6

substitute:

simplify addition:

cancel 7 from both sides:

altogether substitute a,b and c to quadratic equation:

and we are done!

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

me

step-by-step explanation: