Question

MEDALS GALORE!
Compare the following functions:
f(x) = 2 sin(2x – δ) + 2
g(x) (picture)
h(x):
x y
–2 10
–1 7
0 5
1 3
2 5
3 7
4 10


Which function has the smallest minimum?


A) All three functions have the same minimum

B) f(x)

C) g(x)

D) h(x)

Answer 1

Here:

Answer 2

Weird it didt attach my file, however g(x) is a parabola with the minimum point of -2

Answer 3

Okay, I need help to find the minimums of both h(x) and f(x), if you can also explain this to me I shall be very thankful, thank you

Answer 4

from h(x) which number on y column is smallest one?

Answer 5

3 :)

Answer 6

btw, is this also a sine/cosine graph since it has reoccuring y values (10)?

Answer 7

yeah, so minimum of h(x) is 3 while minimum of parabola is -2, then, option a and d are wrong, right?

Answer 8

Ohhh wow, OH, OH I get it okay yes, that's right. so h(x) is a sine/cosine graph so y is the amplitude and the lowest point of the amplitude is the minimum :D

Answer 9

Wow im so stupid

Answer 10

Yes, but for f(x) , beside amplitude, you have the vertical shift also.

Answer 11

So minimum and maximum is bx-c=0 and bx-c=2(pi)?

Answer 12

Im really confused though because of the delta

Answer 13

b = 2 x=x and c =-delta

Answer 14

in sin function:
y =| amplitude|sin (B x + C) + D
Hence, period = 2pi/ B
horizontal shift is C
vertical shift is D
For example

Answer 15

right :o

Answer 16

so period is 2pi/2 or pi?

Answer 17

and the spacing is pi/4

Answer 18

horizontal phase shift is delta. But there is nothing to do with it.

Answer 19

:o ohhhh

Answer 20

You have vertical shift +2 at the end. That allows you to consider the minimum

Answer 21

How do I use vertical shift to find minimum? :o