Question

Write the equation for the graphed function.

f(x) = |x − 3|
f(x) = |x + 3|
f(x) = |x| − 3
f(x) = |x| + 3

Answer 1

all of them?

Answer 2

Can you help me learn how to do this?

Answer 3

no.. this person is looking for the equation that corresponds to the given graph

Answer 4

lol kay

Answer 5

lol ofc i can help you learn this @Nylyak that "no" was not directed towards you xD

Answer 6

lol ok

Answer 7

So this is an example of a transformation

Answer 8

the toolkit function for this is f(x)=|x|


however, we see that the original graph is shifted over to the right 3 times.

Answer 9

because this is a horizontal shift, the 3 must be within the absolute value, eliminating the last two choices

Answer 10

However, because the graph is being shifted to the right, the number would be -3

Therefore, your final equation is f(x)=|x-3|

Answer 11

Does that make sense? These are just things that you will have to learn to memorize, and you can feel free to check your work on a graphing calculator

Answer 12

Ok I think I'm getting what your saying. So f(x)=|x| is like a formula? Sorry if thats a dumb question. I don't remember learning this in class.

Answer 13

no…basically, its like the function f(x)=x^2 will always give you a parabola with the vertex point/minimum/extrema ( i don't know what term you're familiar with ) at the point (0,0).

so in the same manner, the function f(x)=|x| will always give you a graph that starts at (0,0) and branches out both ways.. it is called a toolkit function

Answer 14

First, name some characteristics of your graph.
1) The minimum value is zero (0) at x = 3
2) It is NEVER negative

Answer 15

meaning that you can alter the equation several ways to create a transformation

Answer 16

f(x) = |x| − 3 -- Whoops! That can be negative. Throw it out!
f(x) = |x| + 3 -- Whoops! Minimum value is 3 at x = 0. Throw it out!
f(x) = |x + 3| -- Minimum value is 0, that's good, but at x = -3. Throw it out!
f(x) = |x − 3| -- I'm starting to believe this one.

Answer 17

Thanks @tkhunny and at @Jamierox4ev3r If I were to go learn this from the beginning at like "KhanAcademy" Where do you think i should start?

Answer 18

Just get good at graphing! Make the connection in your head between the equation and the graph. Work problems until you start seeing graphs in your sleep. :-)

Answer 19

hmm…

#sorelatable @tkhunny xD

Answer 20

Well, okay, maybe only when you are awake.

Answer 21

lol Thanks once again for helping. <3