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 glass is
fenix001 [56]

Step-by-step explanation:

x=volume of the glass

(1/3)x+63=(5/8)x

63=(5/8)x-(1/3)x

63=(15/24)x-(8/24)x

63=(7/24)x

multiply both sides by 24/7

(24/7)(63)=(24/7)(7/24)x

216=x

216 cm3 is the volume (answer)

1/3 of 216 is 72

72+63=135

135/216=0.625=5/8

4 0
2 years ago
13 + 5x - 4y - 8<br> .<br> I need to simplify the expression
IrinaK [193]

Answer:

5+5x-4y

Step-by-step explanation:

6 0
2 years ago
Exterior angles of triangles: help me find the value of x please
Tasya [4]

your picture is not showing up for me

3 0
2 years ago
Read 2 more answers
What is the rate 470 feet in <br> five years written as feet per <br> year?
MaRussiya [10]

Answer:

94 feet per year

Step-by-step explanation:

470/5 = 94

6 0
2 years ago
Help me for brainetest
Solnce55 [7]

Answer:

1 and 1/6

Step-by-step explanation:

if you simplify 6/6 is equal to 1 and the extra 1/6 is the fraction so the answer is 1 and 1/6

plz give me brainiest

5 0
2 years ago
Read 2 more answers
Other questions:
  • Jide is n years,his twin sister are two years younger than he is. the sum of their age in years is?
    11·1 answer
  • In two or more complete sentences, give the solution and explain how you solved the system.
    12·1 answer
  • Given that (1,4) is on the graph of f(x), find the
    14·1 answer
  • Which of the following transformations affect the y-values of a function? (Check all that apply)
    13·2 answers
  • Big freh points to da butter dog da dog wit da butter
    7·1 answer
  • 20. The H.M. between 2 and 8 is<br>(1 marks )​
    11·1 answer
  • How is it false, please explain
    10·1 answer
  • HELP PLS GUY. 15 POINTS<br> Its due by midnight
    8·1 answer
  • Factor this expression completely.<br> 6x^2- 13x - 28
    13·2 answers
  • Please help all of it, tysm
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!