trig functions

[crude schooner]

i got b) but cant do a) ??
i just need someone to explain it

[white barn]

Y=(cosx)+1

Wait no

[crude schooner]

do you mind explaining why tho

[white barn]

It’s wrong

[crude schooner]

the graph?

[white barn]

My answer

[crude schooner]

oh right

[leaden mauve]

y=2cosx

[crude schooner]

can u explain please?

[leaden mauve]

all the points get doubled

1 goes to 2, -1 goes to -2 and 0 stays at 0

[crude schooner]

ahh ok

but if the graph is like

y= sin x + 2

its not in brackets

so do i add 2 to the x value ??

[leaden mauve]

the y value increase by 2

[crude schooner]

why on the y

[leaden mauve]

the 2 isnt affecting anything to do with x

the only thing which x matters for is sinx

and then the 2 just increases it by 2

[crude schooner]

so only if its in brackets or before the sin it matters to the x?

like if its y=-sin x

the whole thing turns into minus?

[leaden mauve]

yeah

so sin(x-30) is a translation 30 to the right

but sinx -30 is a translation 30 down

[crude schooner]

ahhh

and if its infront of the sin you times y by 30?