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earnstyle [38]
3 years ago
14

The function f(x)=3 (x+6)^2+8 is shifted 4 units up and 3 units right to form another function g(x). What is g(x)?

Mathematics
1 answer:
iVinArrow [24]3 years ago
3 0

Answer:

g(x) = 3\cdot (x+3)^{2}+12

Step-by-step explanation:

There are two operations involved:

Vertical translation:

f'(x) = f(x) \pm c,\,c\in \mathbb{R} (1)

Note: Positive sign represent a translation upwards.

Horizontal translation:

f'(x) = f(x\pm c), x\in \mathbb{R} (2)

Note: Positive sign represent a translation leftwards.

Then, the new function must be:

g(x) = f(x-3)+4

g(x) = 3\cdot (x+3)^{2}+12

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Rama09 [41]
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3 0
3 years ago
Five more than the product of two and a number,
never [62]

Answer:

It was difficult reading the question, as written.  Check my assumptions.

Step-by-step explanation:

"five more than the product of two and a number,

decreased by seven"

---

Let the "number" be a.

We are told "five more than . ." means +5,

"the product of two and a number" means 2a,

"decreased by seven" mean -7

Put the statements together to obtain:

+5+2a-7

Simplify to 2a-2

Evaluate when a = 8:

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7 0
2 years ago
2. Find the distance between (-3,2) and (4,8).​
Mkey [24]

Answer:

(7,6)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
(Show your working) I uploaded the question
svlad2 [7]

x^2 = the first integer

(x - 1)^2 = the second integer.

x^2 - (x - 1)^2 = ?

First, let's plug a number into our equation for x.

(2)^2 - (2 - 1)^2 = ?

4 - (1)^2 = ?

4 - 1 = 3

As we can see the difference is odd but it's also the sum of the two consecutive integers.

2 + 1 = 3.

This works for all numbers. Let's plug another number into our equation for x.

(4)^2 - (4 - 1)^2 = ?

16 - (3)^2 = ?

16 - 9 = 7

4 + 3 = 7

Try any number and it will always be odd.

4 0
3 years ago
Whats 753×5648÷-4519
SIZIF [17.4K]

Answer:

It equals -941.12.... There is a thing caled a calculator you can use for that ;D

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
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