Question

Can someone help me find the minimum value and y-value of this function: g(x) = 2 sin(2x - π) + 4?

Answer 1

I'm supposed to find the minimum of to this function and another one but I've solved the other one, but I'm not even sure how to do this, I never even learned anything similar to it and I've read my lesson back and forth.

Answer 2

What type of equation is this do you know? What is the Amplitude? What is the Period? and what is the Phase Shift?

Answer 3

This is known as a sinusoidal function. Do you know the Amplitude or the Period or the Phase Shift?

Answer 4

Never heard of it, but give me a moment to figure it out :D

Answer 5

So the amplitude is 2 and vertical shift is 4 and about to calculate the period and phase shift

Answer 6

KK

Answer 7

Then the period is pi and phase shift is pi/2

Answer 8

Correct. So we have a lot of information for this function now

Answer 9

So how would we find the minimum and y-value?

Answer 10

The minimum value is going to be the lowest point

Answer 11

Right.

Answer 12

Oh so wouldn't the amplitude be the minimum?

Answer 13

https://www.desmos.com/calculator/lujy3w0zcs Here is the graph

Answer 14

Oh okay! I've got it now! Thank you so much for your help!

Answer 15

yw

Answer 16

The amplitude is the stretch so it will not be the minimum. It so happen to be that way with this one but increase the vertical shift from 4 to 6 in the graph and see what happens