Question

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. (1 point)
k = ______

Answer 1

what do you think k is

Answer 2

I don't know

Answer 3

Can you be willing to guide me through this?

Answer 4

i think its 3 because the points are (0,-2), (3,-1), and (6,0)

Answer 5

im only 75% sure this is right though...sorry couldnt help more

Answer 6

Eh actualy, this is a vertical translation.

Answer 7

Isn't there any steps not just points?

Answer 8

You know how to transform a function vertically right?

Answer 9

No.

Answer 10

f(x) = x + a <--- increases every point by a times in the y-direction

Answer 11

my teacher teach me this but i fell asleep thats why im on here

Answer 12

Okay so let's look at the y-intercept of f(x) It's (0,-2) right?

Answer 13

yes

Answer 14

and the y-intercept of g(x) is 3 right?

Answer 15

yes

Answer 16

so (0,-2) --> (0,3)

Which is a vertical translation of 5 right?

Answer 17

Basically the whole line moves up by 5

Answer 18

which line there is 2

Answer 19

The f(x) moves up by 5 to get to g(x)

Answer 20

oh okay

Answer 21

oh okay you stated 0,-2

Answer 22

Yeah, so

g(x) = f(x) + 5 And 5 is the vertical translation


We could also do this horizontally if you want :3

Answer 23

but the question asked for the vertical translation component. If we were to do this horizontally btw,
we see how the x-value changes. and it's like

g(x) = f(x-a) <-- moves the line 'a' units to the right

Answer 24

i get it but whats k equal then?

Answer 25

5?

Answer 26

or 10

Answer 27

Yeah 5. We moved the whole line of f(x) UP by 5

Answer 28

and f(x) + 5 moves it up

f(x) + a moves it up by 'a' units.

Answer 29

you can go help other... im just going to understand this and if i need help ill tag you