Question

How does the graph of

Answer 1

Answer:

A,C and D

Step-by-step explanation:

We are given that

$f(x)=3(4)^{x-5}+\frac{2}{3}$

We have to find the graph of given function relate to its parent function.

Let parent function

$g(x)=4^x$

Now, the graph shift  5 unit towards right by the rule of transformation

$g(x)\rightarrow g(x-5)$

Therefore, by using this rule then, we get

$g(x)=(4)^{x-5}$

Now, stretch vertically 3 times the previous graph by using the rule of transformation

$f(x)\rightarrow 3f(x)$

Now, after applying this rule we get

$g(x)=3(4)^{x-5 }$

Now, shift the graph $\frac{2}{3}$ unit upward by the rule of transformation

$f(x)\rightarrow f(x)+\frac{2}{3}$

After applying this rule then, we get

$f(x)=3(4)^{x-5}+\frac{2}{3}$

Hence, options A ,C and D are  true.

Answer 2

Answer:

A,C,&D

Step-by-step explanation: