Question

Fan and Medal

Answer 1

A food packet is dropped from a helicopter and is modeled by the function f(x) = -15x^2 + 6000. The graph below shows the height f(x), in feet, of the food packet at different times x, in seconds:

graph of function f of x equals 6000 minus 15 multiplied by x squared

Use the graph to determine the reasonable domain of f(x) based on the context.

x ≤ 6000

0 ≤ x ≤ 20

-20 ≤ x ≤ 20

all real numbers

Answer 2

Well, think about it, what does the graph of x\(\sf ^2\) look like?

Answer 3

You can either use this generalization OR pick prandom points and graph.

Answer 4

I don't know why it is not showing the symbols. I will write it out.

A. x is less than or equal to 6000.
B. 0 is less than or equal to x which is less than or equal to 20
C. -20 is than or equal to x which is less than or equal to 20
D. All real numbers.

Answer 5

The graph of x^2 is a parabola that opens upwards right?

Answer 6

@abb0t

Answer 7

@IMStuck

Answer 8

right

Answer 9

Right what??

Answer 10

upwards

Answer 11

Oh okay. Do you know the answer?

Answer 12

This is a negative x^2 parabola, so it doesn't open upwards like a cup, it opens downwards like a mountain.

Answer 13

Ohhhh okay

Answer 14

"The graph of x^2 is a parabola that opens upwards right?"

Answer 15

When you factor out a -15, you have -15(x^2 - 400). Then when you factor that, you get x^2 = 400, which makes x equal both 20 and -20.

Answer 16

So C?

Answer 17

That's my take on it!

Answer 18

They just want you to solve for x, and they give you a word problem in which to do it. It's all factoring.

Answer 19

Great!! Thanks so much!

Answer 20

you made it waaaaa to easy for him, but what's done is done

Answer 21

But you led him to believe that it was a parabola that opened upwards. When he said, "It opens upwards, right?" you said it did...you said "right" and from that, there was NO WAY he was going to get it right.

Answer 22

C isn't right (if anyone wants to know)

Answer 23

Thank youuu @babyboy2332