Question

Begin by graphing the standard absolute value function f(x) = | x |. Then use transformations of this graph to describe the graph the given function.

h(x) = 2 | x | + 2
please help i got this question completely wrong please help @Nnesha @mathmath333 @ParthKohli

Answer 1

anyone please help :(

Answer 2

Start by graphing f(x) = |x|
Do you have any idea how to do so?

Answer 3

Hint: plot points such as x = 0, x = 1, x = -1, and see what happens

Answer 4

thats all can happen :P

Answer 5

@master50777

Answer 6

Let's make a table so it's easier.

Answer 7

x | f(x)

-2 | f(-2)
-1 | f(-1)
0 | f(0)
1 | f(1)
2 | f(2)

I'd like you to find the f values and put their values in the table

Answer 8

I GUESS (2,1,0,-1,-2)?

Answer 9

Almost! You got the first three right

Answer 10

However, f(-1) = |-1| = 1

Answer 11

Remember that the absolute value of a number is its positive value

Answer 12

Hmmm

Answer 13

Not its opposite

Answer 14

so it will all the same values? except the negative turns positive should i plot

Answer 15

Yup
Can you do f(2) now?

Answer 16

f(2)=|2|=2

Answer 17

Nicely done. Now that you have all the right values, plot the points (-2,2) , (-1,1), (0,0), (1,1), and (2,2)

Answer 18

ok give me a min

Answer 19

my hand got bit squirky

Answer 20

You got the right points; however, f(x) = |x| is a special case where the function does not curve

Answer 21

It should look something like this:

Answer 22

You should try to remember what the absolute function looks like, as it is really useful. An easy way of remembering it is to think about the function f(x) = x, which looks like: