Question

help please!
the figure is the graph of the function m(t)

let n(t)=m(t) +2
k(t)=m(t+1.5)
w(t)=m(t-o.5)-2.5
p(t)=m(t-1)

find the values of the following
n(-3)=
n(2)=
k(2)=
w(2.5)
w(-0.5)

Answer 1

I'll do the first one, then you do the rest.

For n(-3), we're considering the point when t = -3 since the original expression is n(t).

We are told n(t) = m(t) + 2, so in this case, n(-3) = m(-3) + 2. To find m(-3), look at the graph - you can see that when t = -3, m(t) = -1 (you can think of t as the x value and m(t) as the y value, the function of t).

Soooo...what we have is n(-3) = -1 + 2, so n(-3) = 1.