Question 1:
let f(x)=(3/4)x .

let g(x)=(3/4)x−6.

which statement describes the graph of g(x) with respect to the graph of f(x)?

g(x) is translated 6 units up from f(x) .

g(x) is translated 6 units down from f(x) .

g(x) is translated 6 units left from f(x) .

g(x) is translated 6 units right from f(x) .

question 2:
let f(x)=10^x .

which function represents a transformation of f(x) by a vertical stretch with factor 1.25?

g(x)=0.8·10^x

g(x)=1.25·10^x

g(x)=10^0.8x

g(x)=10^1.25x

Q. 1: g(x) is translated 6 units down from f(x).

Q. 2:

Step-by-step explanation:

Question 1: Let and are two different functions.

Now, the value of y is decreased by 6 units in g(x) with respect to f(x).

Therefore, g(x) is translated 6 units down from f(x). (Answer)

Question 2: Let , then transformation of f(x) by a vertical stretch with factor 1.25 means the y-value will be increases by 1.25 times for the same value of x.

Therefore, the transformed function will be . (Answer)

1/4

Step-by-step explanation:

you see, 2/4=0.5, 5/4=1.25, 6/4=1.5, basically,all the numbers are divided by four, so your scale of dilation is 1/4.