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(you dont have to do it for me, just tell me where to go, thnx)

**1.) The curve with equation y = x^2 - 2x - 3 reflected in the y-axis. Find the equation of this new curve.**

right, i know that when y=f(x) that to reflect in y-axis I do y=f(-x).

so, to answer the question, do i simply stick a - sign in front of all the x? leaving y = -x^2 + 2x - 3 ? but then, lets say i changed the question to the x-axis (i know when y=f(x) to reflect in x-axis you do y=-f(x) ) i am now more confused because i would guess to also stick minus in front again ? which i know i cant do the same.

can someone please explain what to do, thnx

**2.) Describe fully the sequence of two transformations that maps the graph of y = sinx onto the graph of y=3sin2x**

i know how to do the bit relating to 3, which is 'multiply the y-value by 3', but i not sure how to do the transformation relating to 2, can you advise please. thnx

**3.) (not sure how it relates to transformations of functions but its on the list of related qus) The depth, D metres, of the water at the end of a jetty in the afternoon can be modelled by this formula**

D = 5.5 + Asin30(t - k)deg

where

t hours is the number of hours after midday

A and k are constants.

Yesterday the low tide was at 3pm

The depth of wter at low tide was 3.5m

Find the value of A and k

D = 5.5 + Asin30(t - k)deg

where

t hours is the number of hours after midday

A and k are constants.

Yesterday the low tide was at 3pm

The depth of wter at low tide was 3.5m

Find the value of A and k

is it as simple as subbing the values in? because that somehow seems to easy and not related to transformation of functions?

thnx

hope you can help will these and please explain rather than tell me answer, thnx a bunch