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MAXImum [283]
3 years ago
14

The function g(x)=(x-2)^2. The function f(x)=g(x)+3. How much is f(x) shifted horizontally and vertically from g(x)?

Mathematics
1 answer:
Vilka [71]3 years ago
5 0
For this case we have the following function transformation:
 Vertical displacement.
 Assume k> 0
 If f (x) is the original function, f (x) + k is the original function with a vertical displacement k units up.
 Answer:
 
Part 1:
 
C. The function is not shifted horizontally from g (x)
 
Part 2:
 
A. 3 units up from g (x)
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What’s the missing factor?
Vesna [10]

The missing factor is 1 5/8

<u>Step-by-step explanation:</u>

Let us consider the missing factor has 'x'

The given expression is 4 1/2 - x = 2 7/8

<u>To find x :</u>

The first step is to bring all the constant terms on on side and x on the other side,

⇒ 4 1/2 - 2 7/8 = x

Now, the numbers are in improper fraction (mixed fraction). So you have to convert them into proper fraction.

To convert the improper fraction 4 1/2 into proper fraction,

Multiply the denominator 2 with 4 and the result 8 is added with the numerator 1.

⇒ 4 1/2 = 9/2.

To convert the improper fraction 2 7/8 into proper fraction,

Multiply the denominator 8 with 2 and the result 16 is added with the numerator 7.

⇒ 2 7/8 = 23/8.

Now replace them in the given expression. The expression becomes as :

⇒ (9/2) - (23/8) = x

Cross multiply 2 and 8,

⇒ (72 - 46) / 16 = x

⇒ 26 / 16 = x

⇒ 13/8 = x

The x value is 13/8. You have to convert it into mixed fraction (since the question is given in the form of mixed fraction).

<u>To convert into mixed fraction,</u>

Divide 13 by 8 and write them in the form of Quotient (Reminder / Divisor).

⇒ 13 ÷ 8

⇒ 1 (quotient)

⇒ 5 (remainder)

The divisor is 8.

Therefore, x = 13/8 can be written as 1 5/8.

The missing factor is 1 5/8.

8 0
3 years ago
In order for the parallelogram to be a rhombus, x=?
stealth61 [152]

\\ \large\sf\longmapsto x + 15 = 2x - 40 \\ \\ \large\sf\longmapsto x - 2x =  - 40 - 15 \\ \\ \large\sf\longmapsto  - x =   -  55\\ \large\sf\longmapsto x = 55

6 0
2 years ago
Read 2 more answers
What is the slope- intercept form equation of the line that passes through (5, 7) and (8, 22)
kap26 [50]
M = (22 - 7)/(8 - 5) = 15/3 = 5 
<span>using point (5, 7) </span>
<span>y - 7 = 5(x - 5) in point-slope form </span>
<span>y - 7 = 5x - 25 </span>
<span>y = 5x - 18 in slope-intercept form.</span>
3 0
3 years ago
Solve (using change of base formula) 9^(x-5)=10
Allushta [10]
X=6 1/9 is the answer
4 0
2 years ago
PLS HELP TYSM WILL GIVE BRAINLIEST
Shkiper50 [21]

Answer:

2x - 3y

Step-by-step explanation:

-1/4(-8x+12y) = 2x - 3y

4 0
2 years ago
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