Question

@hero
Question 4 (Multiple Choice Worth 1 points)

(04.05)

The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k?

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13 @mathstudent55 @pooja195 @preetha @mathmale @zepdrix @3mar

Answer 1

I'd suggest you actually graph f(x) = 2x+3. Then, shift the whole graph to the right by 10 units (re-drawing the line).

Note that the vertical offset, 3, will NOT change, because you're not translating the graph up or down.

I have trouble doing this just through manipulating the formula. On the other hand, a graph would tell us the value of k pretty quickly. Willing to try it?

Answer 2

Yes

Answer 3

So when I do that what do I do????

Answer 4

So the ANWSER is b????? @mathmale

Answer 5

Where is the graph I asked you to draw?

Answer 6

If you begin with f(x) = 2x + 3, and shift this graph 10 units to the right, the equation of the new graph is g(x) = 2(x-10) + 3. Can you simplify this?

Answer 7

How did you decide that the answer is "b?"

Answer 8

Rule: If you have the graph of f(x) and want to translate it s units to the right, your graph becomes g(x) = f(x-s).

If you have the graph of f(x) = 2x + 3 and want to translate it s units to the right, you graph becomes what? Write it out, following the example above.

Answer 9

If you have the graph of f(x) = 2x +3 and want to translate it 10 units to the right, your function becomes what? Write it out.

Answer 10

tHe x is2 the y is10

Answer 11

So the ANWSER is c ten right???

Answer 12

@mathmale

Answer 13

Unfortunately, no. Have you sketched this situation? How did you get "ten?"

If you have the graph of f(x) = 2x +3 and want to translate it 10 units to the right, your function becomes what? Write it out.

Answer 14

So the ANWSER is d????@mathmale

Answer 15

Rule (again):

If you are given g(x) and have graphed it, then h(x) = g(x-10) will be the equivalent of shifting graph of g(x) 10 units to the right.

Please, try to think your way through this. Sounds as tho' you may just be guessing.

Answer 16

You are given f(x) = 2x + 3.
Please evalute f(x-10). This means: Wherever you see x, replace it with (x-10).

Answer 17

I am. Encaustic I a being timed I know how to do TJIS but I need the ANWSER I know it's against the rules but can you tell me if I am right or wrongd

Answer 18

In both cases you have, unfortunately, been wrong.
Sorry.

Speed isn't everything. Undrstanding is more important (at least in my opinion).

Answer 19

You are given f(x) = 2x + 3.

Please evalute f(x-10). This means: Wherever you see x, replace it with (x-10).

Answer 20

So the only two left is a and b????

Answer 21

I'm giving you hints that should help you solve this problem.

You need to undrstand the math involved, Abrose. Please do not ask "so it's a?" or "so it's b?" because that's just guessing.

Answer 22

Given p(x) and its graph, we can get a new function and a graph s units to the right of the orginal graph by replacing "x" with "x-s."

Given f(x) and its graph, we can get a new function and a graph 10 units to the right of the original graph by replacing "x" with "x-10." Go for it.