29.04.2023

Consider the function below
f(x)=4^x-6
Determine function G which is created by shifting the graph of function f up 5 units
A. g(x)=4^x-1
B. g(x)=9^x-6
C. g(x)=4^(x+5)-6
D. g(x)=4^x+5

. 5

Faq

Mathematics
Step-by-step answer
P Answered by PhD

Option C

g(x) = 4 ^ x-1

Step-by-step explanation:

If we have a function f(x) and we want to move its graph vertically then we apply the transformation:

g (x) = f (x) + k.

So:

If k 0 the function g(x) will be the function f(x) displaced k units up

If k the function g(x) will be the function f(x) displaced k units down.

In this case we know that the graph of f(x) moves 5 units up.

then k 0 and k = 5

Therefore g (x) = f(x) +5

g(x) = 4 ^ x - 6 +5\\\\g(x) = 4 ^ x-1

Mathematics
Step-by-step answer
P Answered by PhD

Option C

g(x) = 4 ^ x-1

Step-by-step explanation:

If we have a function f(x) and we want to move its graph vertically then we apply the transformation:

g (x) = f (x) + k.

So:

If k 0 the function g(x) will be the function f(x) displaced k units up

If k the function g(x) will be the function f(x) displaced k units down.

In this case we know that the graph of f(x) moves 5 units up.

then k 0 and k = 5

Therefore g (x) = f(x) +5

g(x) = 4 ^ x - 6 +5\\\\g(x) = 4 ^ x-1

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
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P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
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P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
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P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 

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