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Otrada [13]
3 years ago
14

Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex

of the graph of f(x) = (x + 2)2 + 2?
Answer choices
A. g(x) = −(x − 3)2 + 2
B. ​g(x) = (x + 7)2 + 2
C. ​g(x) = (x + 5)2 + 2
D. g(x) = −(x + 2)2 + 5
Mathematics
1 answer:
andrezito [222]3 years ago
7 0

Answer:

g(x) = (x -3 )^2 + 2

Step-by-step explanation:

f(x) = (x + 2)^2 + 2

We want to shift this 5 units to the right

The parabola is written in the form

y = a(x-h) ^2 +k  where (h,k) is the vertex

The vertex is at ( -2, 2)

We want to shift it 5 units to the right

-2+5 = 3

g(x) = (x -3 )^2 + 2

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5 0
3 years ago
Casper bought some pencils at .50 each. He had $3 left after the purchase. If he wanted to buy the same number of note pads at .
Nesterboy [21]

<u>Answer:   </u>

Required linear equation to get number of pencils purchased by Casper is 3x – 45 = 0 where x represents number of pencils and number of pencils Casper purchased = 15.

<u>Solution: </u>

Let’s assume number of pencils purchased by Casper = x

As given price of each pencil is 0.50 , so price of x pencils = 0.50x = 0.5x

Also given that she was left with $3 after buying x pencils.

So initial amount which was with casper = price of x pencils + amount he was left with.

=> Initial amount with Casper = 0.5x + 3    ------(1)

Now consider second scenario  

If Casper wanted to buy same number of notepad at price of 0.80 each , then

Total amount need for x notepad = 0.80x = 0.8x

But its also given that he will be short of $1.5.

So initial amount with Casper = 0.80x – 1.5 ------(2)

On equating initial amount with casper using equation (1) and equation(2) we get

0.5x + 3 = 0.8x – 1.5

=> 0.8x – 0.5x = 3 + 1.5

=> 0.3x = 4.5

=> 0.3x – 4.5 = 0  

=> 3x – 45 = 0

So linear equation for x that is number of pencils he purchased is 3x – 45 = 0 where variable x represents number of pencils.

On solving the linear equation 3x – 45 = 0 for x we get

3x = 45

x = 15

Hence required linear equation to get number of pencils purchased by Casper is 3x – 45 = 0 where x represents number of pencils and number of pencils Casper purchased = 15.

7 0
3 years ago
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Answer:

3

Step-by-step explanation:

5 0
2 years ago
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