Question

Variable y varies directly with x2, and y = 32 when x = 4.
Which graph represents the quadratic variation?
http://static.k12.com/calms_media/media/1540000_1540500/1540310/1/e704306724d0e3058f5f975d02ad64262eb5d886/MS_ALG_S2_01_12_quiz_Q5a_question.gif
http://static.k12.com/calms_media/media/1540000_1540500/1540311/1/d3c9c95d917ce7280f5dbce58d52cc1b289e4903/MS_ALG_S2_01_12_quiz_Q5b_question.gif

Answer 1

http://static.k12.com/calms_media/media/1540000_1540500/1540312/1/520c64d5cf628a3b4b22b816792234a7675902b7/MS_ALG_S2_01_12_quiz_Q5c_question.gif
http://static.k12.com/calms_media/media/1540000_1540500/1540313/1/69f31c1a860fc344187f2804ec831319d4f09b69/MS_ALG_S2_01_12_quiz_Q5d_question.gif

Answer 2

i think its the second graph but idk

Answer 3

@iGreen

Answer 4

First, let's find the equation.

\(y = kx^2\)

Plug in 32 for 'y' and 4 for 'x'.

\(32 = k(4)^2\)

What's 4 * 4?

Answer 5

16

Answer 6

@iGreen

Answer 7

Yes, that gives us:

\(32 = 16k\)

Divide 16 to both sides, what's 32 / 16?

Answer 8

@bcimkenz

Answer 9

2

Answer 10

Yes, so the constant is 2.

We write this as:

\(y = 2x^2\)

And this is the graph:

https://www.desmos.com/calculator/7yjyas1wjr

Answer 11

so its the third graph?

Answer 12

No..look at the points on my graph I gave you..see which option matches up.

Answer 13

the first one? @iGreen

Answer 14

Correct!