Let f(x)=3^x . which function represents a transformation of f(x) by a vertical stretch with factor 6? g(x)=1/6 ⋅ 3^x g(x)=3^1/6x g(x)=3^6x g(x)=6 ⋅ 3^x let f(x)=5^x . let g(x)= 5^x − 7 . which statement describes the graph of g(x) with respect to the graph of f(x) ? a. g(x) is translated 7 units left from f(x) . b. g(x) is translated 7 units up from f(x) . c. g(x) is translated 7 units right from f(x) . d. g(x) is translated 7 units down from f(x) .

Ques 1)

Ques 2)

          D.      g(x) is translated 7 units down from f(x) .

Ques 1)

We know that the transformation of the type:

  f(x) → a f(x)

is a vertical compression or stretch depending on a.

If a>1 then we have a vertical stretch by a factor of a.

If 0<a<1 then we have a vertical compression.

Here we have a function f(x) as:

Now, if it is vertically stretched by a factor of 6 then the transformed function g(x) is given by:

Ques 2)

We know that the transformation of the type:

        f(x) → f(x)+a

is a shift i.e. translation of the function f(x) either a units up or a units down depending on a.

If a>0 then the shift is a units up.

if a<0 then the shift is a units down.

Here the function f(x) is:

and the transformed function g(x) is:

Since a= -7<0

Hence, the shift is 7 units down.

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.