1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Burka [1]
3 years ago
10

Which is the graph of f(x) = x2 – 2x + 3?

Mathematics
2 answers:
Vlad [161]3 years ago
5 0

The <em><u>correct answer</u></em> is:

The graph will be the same width as the parent graph f(x) = x², but the vertex has been shifted to (1, 2).

Explanation:

Since the value of a, the coefficient of x², is 1, this means the graph has not been stretched or shrunk. However, since the function is different than f(x)=x², we know that the vertex is not at (0, 0). We can write the function in vertex form to find the new vertex.

To write the function in vertex form, we find the value of b/2. The value of b in this function is -2; -2/2 = -1. We then square this: (-1)² = 1. This is what we add and subtract to the function (we must do both to preserve equality), giving us:

f(x) = x²-2x+1+3-1

The first three terms of this function can be written as the square (x+(b/2))²; this is (x-1)², and gives us f(x) = (x-1)²+3-1. Combining like terms, we have:

f(x) = (x-1)²+2

This is vertex form, f(x) = a(x-h)²+k, where (h, k) is the vertex. This means the vertex is at (1, 2) instead of (0, 0).

icang [17]3 years ago
3 0
To find the graph of f(x) = x^2 - 2x + 3, you can either plug in values into where the x variable stands and solve for their corresponding y-values or you can also use your graphing calculator or even Desmos works! 

You might be interested in
A student counted the number of times her teacher said word like during her class over an 11- day period [likes per class period
hichkok12 [17]
Let us calculate the median; the 6th observation is 20, so it is 20. We need the 6th observation so that out of the 11 observations we have 5 above the median and 5 below (or equal). We also have that then Q1 is the median of the lowest 5 observations, hence 19 (14,16,19,19,20, the 3rd observation is 19). Similarly, we get that the median for the upper half of the observations, Q3 namely, is 22 (21,21,22,22,23, the 3rd observation is 22). Thus, the interquartile range is 3=Q3-Q1. According to our calculations, all observations are wrong.
5 0
3 years ago
Read 2 more answers
What is 123 round to the nearest hundered
irina1246 [14]
123 rounded to the nearest hundred is 100 i believe
8 0
3 years ago
Read 2 more answers
X was a sacrifice <br><br><br> ,,,,,,,,,,,,,,,
stellarik [79]

Answer:

yes next y will be a sacrifice

Step-by-step explanation:

i did it

3 0
2 years ago
EXPLAIN YOUR ANSWER NEED HELP ASAP
Dennis_Churaev [7]
The radius is half the diameter. 19*2=38. The diameter is 38.
7 0
3 years ago
Enter an inequality that represents the description, and then solve.
Natalija [7]
Tony’s backpack can carry weight up to 22 but not more that that
If the variable n represents the total weight carried by tony
Then ; n less than or equal to (n=1+3+3b
=4+3b
Where b represents book
4+3b is less or equal to 22
3b is less or equal to 18
b is less or equal to 6

Therefore Tony’s backpack cannot carry more than 6 books
7 0
1 year ago
Other questions:
  • Which equation could you use to solve for x in the proportion 4/5=9/x ?
    9·1 answer
  • Billy anderson is choosing between two fitness centers. Center A charges $495 per year for unlimited use of all facilities. Cent
    15·2 answers
  • Leslie plants a tree that will grow at an average rate of 6 inches each year. She graphs a line that represents the predicted gr
    13·2 answers
  • HELP MEEEEEE!!! This is due today !!!!!
    12·2 answers
  • Two BLARBs equal one BLABB. Three BLABBs equal ten BLALBs, and one BLALB equals two BABs. How many BABs equal 6 BLARBs?
    5·1 answer
  • PLEASE HELP WITH MATH
    14·2 answers
  • PLS HELPPPPPPP :((
    14·1 answer
  • A suit is on sale for 33% off the sale price is 536 what is the regular price
    11·2 answers
  • Which number has the greater value, 7*10^-9 or 6*10^-4
    8·1 answer
  • Which is the best approximation for the solution of the system of equations? y = a system of equations. y equals negative startf
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!