Question

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

Answer 1

Answer:

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

Q. 2: $g(x) = 1.25 \times 10^{x}$

Step-by-step explanation:

Question 1: Let $y = f(x) = \frac{3}{4}x$ and $y = g(x) = \frac{3}{4}x - 6$ 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 $f(x) = 10^{x}$, 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 $g(x) = 1.25 \times 10^{x}$. (Answer)

Answer 2

Answer:

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

2: g(x)=1.25·10^x

Step-by-step explanation:

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