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Mrac [35]
2 years ago
11

Which graph corresponds to the function f(x) = x2 + 4x – 1?

Mathematics
1 answer:
Leona [35]2 years ago
5 0

Answer:

See below

Step-by-step explanation:

I don't know if this helps you, but I wanted to get you an answer as quickly as I could in case you needed it really soon.  This is what a graph of this function would look like.  Choose the answer that looks like this one.

I really hope this helps!

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Please show full solutions! WIll Mark Brainliest for the best answer. <br><br> SERIOUS ANSWERS ONLY
Ierofanga [76]

Answer:

  • vertical scaling by a factor of 1/3 (compression)
  • reflection over the y-axis
  • horizontal scaling by a factor of 3 (expansion)
  • translation left 1 unit
  • translation up 3 units

Step-by-step explanation:

These are the transformations of interest:

  g(x) = k·f(x) . . . . . vertical scaling (expansion) by a factor of k

  g(x) = f(x) +k . . . . vertical translation by k units (upward)

  g(x) = f(x/k) . . . . . horizontal expansion by a factor of k. When k < 0, the function is also reflected over the y-axis

  g(x) = f(x-k) . . . . . horizontal translation to the right by k units

__

Here, we have ...

  g(x) = 1/3f(-1/3(x+1)) +3

The vertical and horizontal transformations can be applied in either order, since neither affects the other. If we work left-to-right through the expression for g(x), we can see these transformations have been applied:

  • vertical scaling by a factor of 1/3 (compression) . . . 1/3f(x)
  • reflection over the y-axis . . . 1/3f(-x)
  • horizontal scaling by a factor of 3 (expansion) . . . 1/3f(-1/3x)
  • translation left 1 unit . . . 1/3f(-1/3(x+1))
  • translation up 3 units . . . 1/3f(-1/3(x+1)) +3

_____

<em>Additional comment</em>

The "working" is a matter of matching the form of g(x) to the forms of the different transformations. It is a pattern-matching problem.

The horizontal transformations could also be described as ...

  • translation right 1/3 unit . . . f(x -1/3)
  • reflection over y and expansion by a factor of 3 . . . f(-1/3x -1/3)

The initial translation in this scenario would be reflected to a translation left 1/3 unit, then the horizontal expansion would turn that into a translation left 1 unit, as described above. Order matters.

8 0
2 years ago
What is (1.7x10^4)x(8.5x10^-2) in standard form
Temka [501]

Answer:

1.445 × 10³

Step-by-step explanation:

Standard form is a way of writing a small number or a large number easily.

We should give the final answer in standard form.

1) (1.7 × 10⁴) × (8.5 × 10⁻²)

We enter this directly into the calculator to obtain a solution.

= 1445

We write this in standard form we have :

1.445 × 10³

4 0
3 years ago
Read 2 more answers
Suppose that your data shows that Saturn orbits every 29.5 years. To the nearest hundredth of an au, how far is Saturn from the
iogann1982 [59]

Answer: 9.55 au

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which of the following represents a function that is reflected over the x-axis and shifted up 3
Travka [436]

Answer:

Option 2.

Step-by-step explanation:

f(x) = - x^2 + 3

The parent function is x^2

- the '-'  before the x^2 reflects it in the x-axis,  and the + 3 shifts it up 3 units.

7 0
3 years ago
A parachutist's speed during a free fall reaches 198 feet per second. What is this speed in meters per second? At this speed, ho
Archy [21]

First covert the feet to meters.

1 meter = 3.3 feet.

Divide the total number of feet by 3.3 to get total number of meters:

198 / 3.3 = 60 meters per second.


Multiply meters per second by 15 seconds:


60 x 15 = 900 meters in 15 seconds.

5 0
2 years ago
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