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Galina-37 [17]
2 years ago
7

Help me please this is due in 10 mins

Mathematics
1 answer:
astraxan [27]2 years ago
5 0
You didn’t tell us how you want to figure it out
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Please help with the attached question. Thanks
Mademuasel [1]

Answer:

Choice A) F(x) = 3\sqrt{x + 1}.

Step-by-step explanation:

What are the changes that would bring G(x) to F(x)?

  • Translate G(x) to the left by 1 unit, and
  • Stretch G(x) vertically (by a factor greater than 1.)

G(x) = \sqrt{x}. The choices of F(x) listed here are related to G(x):

  • Choice A) F(x) = 3\;G(x+1);
  • Choice B) F(x) = 3\;G(x-1);
  • Choice C) F(x) = -3\;G(x+1);
  • Choice D) F(x) = -3\;G(x-1).

The expression in the braces (for example x as in G(x)) is the independent variable.

To shift a function on a cartesian plane to the left by a units, add a to its independent variable. Think about how (x-a), which is to the left of x, will yield the same function value.

Conversely, to shift a function on a cartesian plane to the right by a units, subtract a from its independent variable.

For example, G(x+1) is 1 unit to the left of G(x). Conversely, G(x-1) is 1 unit to the right of G(x). The new function is to the left of G(x). Meaning that F(x) should should add 1 to (rather than subtract 1 from) the independent variable of G(x). That rules out choice B) and D).

  • Multiplying a function by a number that is greater than one will stretch its graph vertically.
  • Multiplying a function by a number that is between zero and one will compress its graph vertically.
  • Multiplying a function by a number that is between -1 and zero will flip its graph about the x-axis. Doing so will also compress the graph vertically.
  • Multiplying a function by a number that is less than -1 will flip its graph about the x-axis. Doing so will also stretch the graph vertically.

The graph of G(x) is stretched vertically. However, similarly to the graph of this graph G(x), the graph of F(x) increases as x increases. In other words, the graph of G(x) isn't flipped about the x-axis. G(x) should have been multiplied by a number that is greater than one. That rules out choice C) and D).

Overall, only choice A) meets the requirements.

Since the plot in the question also came with a couple of gridlines, see if the points (x, y)'s that are on the graph of F(x) fit into the expression y = F(x) = 3\sqrt{x - 1}.

5 0
3 years ago
Read 2 more answers
Simplify<br> Зе –6e + Зе – 4e =<br> How do you do it
Anvisha [2.4K]

Answer:

Let's simplify step-by-step.

3e−6e+3e−4e

=3e+−6e+3e+−4e

Combine Like Terms:

=3e+−6e+3e+−4e

=(3e+−6e+3e+−4e)

=−4e

Step-by-step explanation:

You are welcome

4 0
3 years ago
X — 5 &lt; 3 OR x – 5 &gt; 8
Vlad1618 [11]

Answer:

x<8 or x>13

Step-by-step explanation:

x-5 < 3

x < 3 + 5

x <8

OR

x – 5 > 8

x > 8 +5

x >13

combining the two, the combined answer for x is

x<8 or x>13

8 0
3 years ago
Read 2 more answers
The scatter plot shows the number of cars and trucks sold by 10 different employees at a car and truck dealership during a month
Hitman42 [59]
1 employee
I think....
3 0
3 years ago
Read 2 more answers
How is a finance charge calculated
GuDViN [60]

Answer:

option A. Multiply the unpaid balance by the monthly interest rate

Step-by-step explanation:

Finance charges are the monthly service fee charged by lender on the credit used by borrower if they wish to skip the payment of monthly bill and carry forward it to next month.

So, we can calculate finance charges as monthly interest accrued on the unpaid balance.

Finance charges = Unpaid balance x Monthly interest rate.

Hence, option A is correct, i.e. Multiply the unpaid balance by the monthly interest rate.

6 0
3 years ago
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