SOLUTION: In a quadratic variation graph what does it look like when y equals 18 when x equals 6 what does the rest of the graph look like.

Algebra ->  Linear-equations -> SOLUTION: In a quadratic variation graph what does it look like when y equals 18 when x equals 6 what does the rest of the graph look like.      Log On


   



Question 1019301: In a quadratic variation graph what does it look like when y equals 18 when x equals 6 what does the rest of the graph look like.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
you did not specify whether this was direct or inverse variation.

the formula for direct variation would be y = kx^2.

the formula for inverse variation would be y = k/x^2.

in both cases, you solve for k first and then use that value of k to solve the rest of the problem.

you are given that y = 18 when x equals 6.

in direct variation the formula of y = kx^2 becomes 18 = k*6^2 which becomes 18 = 36k.

solve for k to get k = 18/36 = .5

now that you have k, you can make the graph.

it will look like the following:

$$$

in inverse variation, the formula of y = k/x^2 becomes 18 = k/6^2 which becomes 18 = k/36.

solve for k to get k = 18*36 = 648.

now that you have k, you can make the graph.

it will look like the following:


$$$