Question

PLEASE help me with this!!

Answer 1

D.

Explanation:

Well lets graph it first,

Look at the image below↓

So the red line is the new line which has been reflected and shifted down 2.

Meaning the domain turns into positive numbers but still remains infinite.

And the range changes

So we can cross out A and B.

Before the range was lower than 1 and now its (-2,∞)

Thus,

answer choice D is correct.

Hope this helps :)

Answer 2

Option D

Explanation:

H(x) = 3^(2x)

G(x) = reflecting H(x) across the y-axis and shifting 2 units down

=>G(x) = 3^(-2x) - 2

3^(2x) and 3^(-2x) - 2 are valid with all values of x.

=> There is no change in the domain of H(x) and G(x), in which all values of x satisfy H(x) and G(x).

3^(-2x) > 0

=> G(x) = 3^(-2x) - 2 > -2

=> Range of G(x) is from -2 to inifinity