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trapecia [35]
3 years ago
7

Let f(x)=x^2-4x+1. write f(x) in standard form

Mathematics
1 answer:
34kurt3 years ago
6 0
y = x^2 - 4x + 1

The method to change it to the form y = a(x-h)^2+k is to complete the square.
y=x^2-4x+1 \\ 
y-1 = x^2-4x \\ y-1+4 = x^2-4x+4 \\ y+3=(x-2)^2 \\ y=(x-2)^2-3

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The geometric sequence graphed shows the number of mold spores in a Petri dish per day (please help!)
zavuch27 [327]

Answer:

f(1) = 2

f(n) = 2 × f(n - 1) , n ≥ 2

Step-by-step explanation:

the point of coordinates (1 , 2) is on the graph

Then

f(1) = 2

…………………………

We notice that :

f(2) = 4

f(3) = 8

f(4) = 16

16/8 = 8/4 = 4/2 = 2/1 = 2

________________________

This means the common ratio

of the geo sequence = 2

Hence ,

f(n) = 2 × f(n - 1)

5 0
2 years ago
What is the formula of a radius circle ?
UkoKoshka [18]
I assume you happen to mean, what is the formula for a circle.

The formula is:

A=\pi  r^{2}
5 0
3 years ago
Read 2 more answers
Concider the functions: f(x)= (2/3)x and g(x)=(2/3)x-3+2. Which statement is true regarding the vertical and horizontal translat
ioda

The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.

<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>

For a given function f(x), we can write a vertical translation of n units as:

g(x) = f(x) + n

  • If n < 0, the translation is downwards.
  • if n > 0, the translation is upwards.

And a horizontal translation of n units as:

g(x) = f(x + n).

  • if n > 0, the translation is to the left.
  • if n < 0, the translation is to the right.

Here we have:

f(x) = (2/3)*x

g(x) = (2/3)*(x - 3) + 2

By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.

So the correct option is B.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

4 0
2 years ago
State whether the data described below are discrete or​ continuous, and explain why. The numbers of languages spoken by differen
Tems11 [23]

Answer:

Option C) The data are discrete because the data can take on specific value.

Step-by-step explanation:

We are given the following in the question:

The numbers of languages spoken by different people.

The data would include points like English, Hindi, Marathi, and many more.

Thus, the data is discrete because the number of languages will always be expressed in whole numbers and thus it cannot take any value within an interval.

The value is calculated and not measured.

Thus, the correct answer is

Option C) The data are discrete because the data can take on specific value.

8 0
4 years ago
The scale on a map indicates that 1 inch represents 10 miles. If two cities are 2 3 4 inches apart on a map, how many miles apar
Delicious77 [7]

Answer:

Step-by-step explanation:

2340 miles

Given

1 inch represents 10 miles

thus,

1 inch on map = 10 miles in real

given the two cities are 234 inches apart on map

1 inch on map = 10 miles in real

multiplying both side by 234

1 inch*234 on map = 10 miles*234 in real

234 inch on map = 2340 miles in real.

Thus, two cities are 2340 miles apart.

3 0
3 years ago
Read 2 more answers
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