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NeTakaya
3 years ago
12

Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x – 2)2 + 3?

Mathematics
2 answers:
zhannawk [14.2K]3 years ago
6 0

Answer:

f(x) shift right 2 and up 3 to get g(x)

A is correct.

Step-by-step explanation:

Given: f(x)=x^2 and g(x)=(x-2)^2+3

We need to find transformation that occurs from f(x) to g(x).

Parent function is quadratic equation.

Concept of transformation:-

For horizontal shift:

If x changes to x+a then left or right shift.

a>0 then shift left

a<0 then shift right

For vertical shift:

If y changes to y+a then up or down shift

If b>0 then shift up by a unit

If b<0 then shift down by a unit.

f(x)\rightarrow g(x)

x^2\rightarrow(x-2)^2

Thus, f(x) shift 2 unit right.

(x-2)^2\rightarrow (x-2)^2+3

Thus, f(x) shift 3 unit up.

Hence, f(x) shift right 2 and up 3 to get g(x)

Andrei [34K]3 years ago
5 0

Answer:

A. right 2, up 3

Step-by-step explanation:

We have that,

The function f(x) = x^2 is transformed to g(x) =(x- 2)^2+3.

We see that,

The function f(x) is translated 2 units to the right and 3 units upwards to obtain the function g(x).

So, the correct transformation is 'right 2, up 3'.

Hence, option A is correct.

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If LM = 20 cm, and PQ = 16 cm, what is the length of RM, in centimeters?
LuckyWell [14K]

Answer:

RM = 12 cm

Step-by-step explanation:

a^{2} + b^{2} = c^{2}

Assuming 20 is the hypotenuse cus there is no picture:

a^{2} + 16^{2} = 20^{2}

a^{2} +256 = 400

a^{2} = 144

a=144

If It's not the hypotenuse:

16^{2}+ 20^{2} =c^{2}

256+400 =c^{2}

656=c^{2}

c = 25.61249695

But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.

Hope this helped. :0)

5 0
3 years ago
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Mashutka [201]
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8 0
3 years ago
7 over 12 minus 5 over 12 as a fraction in simplest form
poizon [28]

Answer:

1/6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Two friends Ana and Juan are buying books by joining the History Book
Travka [436]

Answer:

Ana  spent $17  per book on average.

Juan  spent $14.78  per book on average.

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Step-by-step explanation:

Ana has to pay a yearly fee of $15 to join.

She spends a total of $525 for 30 books.

The amount spent on books = Total amount - yearly fee

                                                 = $525- $15= $510

Price per book on the average = $510/30= $ 17

Ana  spent $17  per book on average.

Juan has to pay a yearly fee of $10 to join.

He spends a total of $350 for 23 books.

The amount spent on books = Total amount - yearly fee

                                                 = $350- $10= $340

Price per book on the average = $340/23= $ 14.78≅ $15

Juan  spent $14.78  per book on average.

The function can be established if y gives the total cost and x gives the number of books

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Juan has a better deal because the yearly fee is less also the price per book is less.

8 0
3 years ago
HELP PLEASE!!!!<br> what is the midpoint of (-5,-5) and (-1, -1)
Andreas93 [3]
(-3,-3) is your answer please give brainliest!
7 0
3 years ago
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