ThisGirlPretty:

Compare the functions shown below:

3 months ago
ThisGirlPretty:

https://prnt.sc/hd2e66 Which function has the smallest minimum y-value? f(x) g(x) h(x) Both f(x) and g(x) have the same minimum y-value.

3 months ago
ThisGirlPretty:

@Shadow @Vocaloid

3 months ago
sammixboo:

What are the different functions?

3 months ago
sammixboo:

Oh, wait, I'm stupid.. xD

3 months ago
ThisGirlPretty:

LOL It's fine x'D

3 months ago
sammixboo:

Aah xD Did you get your question yet, or are you still working on it?

3 months ago
ThisGirlPretty:

Still working on it :D

3 months ago
sammixboo:

I gotchyu. What all have you done so far? Like, have you came to any conclusions yet?

3 months ago
ThisGirlPretty:

Not really :| I tried using mathway, desmos

3 months ago
Vocaloid:

f(x) is a sin function, and the "parent" or default sin(x) function normally has a minimum of -1 except it's been multiplied by -4, which changes the amplitude so the minimum value of -4(sin(x)) is -4 the (2x-pi) inside the sin function only translates/stretches the function horizontally so these transformations don't change the minimum value and the -1 at the end shifts the entire graph down, making the minimum -5

3 months ago
Vocaloid:

the minimum of g(x) is straightforward, it's just the smallest value of g(x) in the table, which is -3

3 months ago
Vocaloid:

and for h(x), normally the x^2 has a minimum of 0, and in this case the -2 inside the parentheses does not change the minimum since this is a horizontal transformation, and the +4 at the end shifts the entire function up by 4, making the minimum 4

3 months ago
ThisGirlPretty:

Ah okie, I see now

3 months ago