How does the graph of
f(x)=3(4)^x-5+2/3
relate to its parent function?
i am struggling with this question and honestly don't know how to do it. any input on the possible answers?

* select all correct answers*
a- the parent function has been translated to the right.

b- the parent function has been compressed.

c- the parent function has been translated up.

d- the parent function has been stretched.

A,C and D

Step-by-step explanation:

We are given that

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

Let parent function

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

Therefore, by using this rule then, we get

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

Now, after applying this rule we get

Now, shift the graph unit upward by the rule of transformation

After applying this rule then, we get

Hence, options A ,C and D are  true.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)