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natta225
1 month ago
5

the graph of g(x) is a translation of the function f(x) = x2. the vertex of g(x) is located 5 units above and 7 units to the rig

ht of the vertex of f(x). which equation represents g(x)? g(x) = (x 7)2 5 g(x) = (x – 7)2 5 g(x) = (x 5)2 7 g(x) = (x – 5)2 7
Mathematics
2 answers:
Zina [12.3K]1 month ago
6 0
To indicate a rightward shift of 7 units, subtract 7 from the argument, resulting in f(x-7)

To indicate an upward shift of 5 units, add 5 to the function, giving f(x) + 5

Thus, g(x) = f(x-7) + 5 = (x-7)^2 + 5

By subtracting 7 from the function argument, the shift to the right is 7 units.

Adding 5 units to function f results in the graph moving 5 units upward.
lawyer [12.5K]1 month ago
4 0

Answer:

To signify a rightward translation of 7 units, we adjust the argument by subtracting 7, leading to f(x-7)

For a vertical translation of 5 units upwards, we increase the function by 5, resulting in f(x) + 5

Therefore, g(x) = f(x-7) + 5 = (x-7)^2 + 5

This adjustment of 7 units in the function's argument shifts it rightward by 7 units.

Increasing function f by 5 units raises the graph by 5 units.

Step-by-step explanation:

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If g(x)=4x^2-16 were shifted 5 units to the right and 2 down, what would the new equation be?
lawyer [12517]
Try this method:
When a graph shifts right, replace 'x' with 'x' minus the number.
When it shifts down, subtract the number from 'y'.
So the final equation becomes: y = 4(x - 5)² - 18.
The answer is A.
4 0
2 months ago
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Sam is designing a fence post for his yard. He will need to construct a perpendicular line through the point above the line to m
zzz [12365]
Option D is indeed correct, as it ensures that the post's point is equidistant from the ground, maintaining a perpendicular angle at two points on the surface.
6 0
1 month ago
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Tanmay had some chocolates with him. He gave one-third of them to Akash and one-fifth of them to Sharad. Tanmay could do so with
babunello [11817]

Answer:

Possible values for X include;

15, 30, 45, 60, and so on

Step-by-step explanation:

The parameters provided are

Number of chocolates Tanmay possessed = X

Number of chocolates given to Akash = 1/3 × X

Number of chocolates given to Sharad = 1/5 × X

Consequently, since both 3 and 5 divide X,

3 × 5 = 15 is the smallest single factor of X.

Thus, the values of X based on this minimum factor are as follows;

15 × 1 = 15

15 × 2 = 30

15 × 3 = 45

15 × 4 = 60

Therefore, potential values for X form an arithmetic series: a + (n - 1) × d

Where:

a = 15

n = 1, 2, 3, 4,...

d = 15

This results in;

15, 30, 45, 60

7 0
1 month ago
Isabella built a time travel machine, but she can't control the destination of her trip. Each time she uses the machine she has
babunello [11817]

The likelihood that at least one trip occurs before Isabella's birth is 0.7627.

Step-by-step explanation:

In this scenario, Isabella has invented a time machine, but she lacks control over where she travels. Each use of the device holds a 0.25 probability of leading her to a time preceding her birth. Over the initial year of trials, she operates her machine 5 times. If we assume every journey has an equal chance of going back in time, we can calculate the odds that at least one of these trips occurs before she was born. Here's the calculation:

The probability of traveling to a time prior to her birth is 0.25.

The chance of not traveling back in time, given that the machine is used 5 times:

⇒ (1-0.25)(1-0.25)(1-0.25)(1-0.25)(1-0.25)

⇒ (1-0.25)^5

⇒ (0.75)^5

The probability that at least one trip goes before Isabella's birth is equal to 1 minus the probability of not traveling back to that period:

⇒ 1-(0.75)^5

⇒ 0.7627

Consequently, the chance that at least one trip travels before Isabella's birth is 0.7627.

4 0
1 month ago
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Yolanda wanted to buy a total of 6 pounds
Zina [12379]

Answer:

No, she did not.

Step-by-step explanation:

Calculate the total expense for the food and then divide by 6. You will see that she falls short.

7 0
1 month ago
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