Question

help needed!

Answer 1

@iGreen I don't know how to come about when trying to solve these. cos/tan/sin they all confuse me

Answer 2

Do you know what the y-intercept for g(x) is? It shows it on the graph.

Hint: The y-intercept is the place where a line goes through the y-axis.

The y-axis is the line that goes up and down with numbers on it.

Answer 3

Lol, FLVS.

Answer 4

f(x) tells you its y-intercept.

It's in the form of y = mx + b, where b = y-intercept.

So what's the y-intercept of f(x)?

Answer 5

f(x)= 5 and g(x)= not sure.. -3?

Answer 6

And here's the graph for \(h(x) = 2~cos(2x - \pi) + 4\):

Answer 7

Can you tell what the y-intercept for that one will be?

Answer 8

6?

Answer 9

Yep!

g(x) is -3, because that's where it goes through on the y-axis.

But f(x) isn't 5..you're close.

Answer 10

Yep! The y-intercept for h(x) is 6.

Answer 11

For f(x), you forgot to carry the sign with the 5..so you have..?

Answer 12

haha, oh yeah. gotta carry the sign. -5

Answer 13

Yep, you got it.

So:

f(x) = -5
g(x) = -3
h(x) = 6

Answer 14

Which one has the greatest y-intercept?

Answer 15

6 ^.^ how do I graph h(x) ? with having cos and all?

Answer 16

Oh, well I just use:

https://www.desmos.com/calculator

I just typed the whole thing in..it registered..lol.

Answer 17

You put it in a box on the left.

Answer 18

Yep, h(x) is your answer.

Answer 19

oh okay, well lets say I had an exam on things like h(x) is there tricks to getting the answer by looking at it? h(x) = 2 cos(2x − π) + 4

Answer 20

Hmm..let me see..

Answer 21

Yep! There is!

\(h(x) = 2\cos2(x - \pi) + 4\)
^ This number + ^ this number = y-intercept.

4 + 2 = 6, so y-intercept is 6.

If you have:

\(h(x) = 5\cos2(x - \pi) + 6\)

The y-intercept will be 11, because 5 + 6 = 11.

Get it? @izthewiz7

Answer 22

The number before \(\cos\) + the number at the end = y-intercept.

Answer 23

where did the 5 come from?

Answer 24

I just put that there as an example.

Answer 25

ohhhh, okay, I understand (: so by using the information you gave me, I concluded that my next question was D.

Answer 26

No, here in \(f(x) = 4~\sin~(2x - \pi) - 1\), the number at the end will be the y-intercept.. so what's that? @izthewiz7

Answer 27

we don't subtract 4 - 1 for y intercept? or will it just be -1?

Answer 28

Yep!

Answer 29

So what's the smallest y-value gonna be?

Answer 30

haha, f(x) .

Answer 31

Yep, you got it.

Answer 32

I haven't taken Algebra II yet..I'm in FLVS too :o

I'm still in 10th grade.

Answer 33

I'm taking Geometry and Biology..after I finish them I'll take Algebra II.

Answer 34

quick question, if a function has the most x-intercepts, does that mean the amount of times it crosses the x-axis?

Answer 35

and omg, that's crazyyyyy. you're super smart!!!!!!!!!!
im taking geometry too. hate it so mcuh

Answer 36

Lol..I do too sometimes..

Answer 37

Yes, if a line has more than one x-intercept, it has more than one place where it crosses the x-axis.

Answer 38

You're the best (: