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sdas [7]
2 years ago
7

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two g

raphs? Select three options.
Mathematics
1 answer:
BaLLatris [955]2 years ago
6 0

Using translation concepts, the correct statements are given as follows:

  • Ava's graph is vertical translation of x².
  • Ava's graph has a y-intercept of 4.
  • Victor's graph moves 4 units from f(x) = x² in a positive direction.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

Ava's graph is given by:

h(x) = x² + 4.

It is a vertical translation of 4 units of f(x) = x², as the change was in the range of the function. Hence, it has a y-intercept of f(0) = 0² + 4 = 4.

Victor's graph is given by:

g(x) = (x + 4)²

Which means that it moves 4 units from f(x) = x² in a positive direction.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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we are given

speed is 850mi/h

we know that

1 mile =1609.34 metre

1 hour = 3600 second

now, we can replace 1mi and 1hour

850mi/h=850*\frac{1609.34}{3600} m/s

now, we can solve it

379.98306

850mi/h=379.98306 m/s...........Answer

7 0
3 years ago
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A flower shop sells tulips and roses. The price of each tulip is the same and the price of each roses the same. One customer bou
Talja [164]

Answer: it cost a customer $7.25 to buy five tulips and $10.5 to buy six roses.

Step-by-step explanation:

Let x represent the cost of 1 tulip.

Let y represent the cost of 1 rose.

The price of each tulip is the same and the price of each roses the same. One customer bought seven tulips and nine roses for $25.90. This means that

7x + 9y = 25.9 - - - - - - - - - - - - - - 1

Another customer bought for four tulips and eight roses for $19.80. This means that

4x + 8y = 19.8- - - - - - - - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 7, it becomes

28x + 36y = 103.6

28x + 56y = 138.6

Subtracting, it becomes

- 20y = - 35

y = - 35/ - 20

y = 1.75

Substituting y = 1.75 into equation 2, it becomes

4x + 8 × 1.75 = 19.8

4x + 14 = 19.8

4x = 19.8 - 14 = 5.8

x = 5.8/4

x = 1.45

The cost of 5 tulips would be

1.45 × 5 = $7.25

The cost of 6 roses would be

1.75 × 6 = $10.5

7 0
3 years ago
A dog buried 18 bones in his backyard. On Monday, he dug up 1/2 of his bones. On Tuesday, he dug up another 1/3 of his bones. Ho
Korolek [52]

Answer:

3

Step-by-step explanation:

A dog buried 18 bones

On Monday he dug up 1/2 of the bones

On Tuesday he dug up 1/3 of the bones

= 1/2 × 18

= 9

= 1/3×18

= 6

Therefore the remaining bones still buried in the ground can be calculated as follows

= 9+6

= 15

= 18-15

= 3

Hence 3 bones are still buried in the ground

5 0
3 years ago
What is the range of f(x) = 3x + 9?
ziro4ka [17]

Answer:

The range is all real numbers.

Step-by-step explanation:

The function shown is a line (and not a horizontal line).

The range is all the y's on the graph or all the y's that can be generated by the equation of the function.

f(x) = 3x + 9

You could put ANY, literally any, number in place of the f(x) and be able to calculate an x for it. Looking at the graph of this line, you could go up and down the y-axis to infinity in either direction, and the graph of the line would be there.

The range is All Real Numbers.

5 0
2 years ago
I need help with this
navik [9.2K]

Step-by-step explanation:

please mark me as brainlest

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2 years ago
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