This is 1 day late- help. ASAP
2 answers:
You might be interested in
A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so
A dilation of 2 is the mapping (x'',y'')=(2x', 2y')
So
We can rewrite that without the primes and combine the powers of 2.
Let's graph these and see if we're close,
Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}
We're given that and
, and want to find
.
By the chain rule, we have
and
Then
(because the point corresponds to
)