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
nexus9112 [7]
3 years ago
13

F(x) = x2 – 2x + 3; f(x) = -2x + 12

Mathematics
1 answer:
ANEK [815]3 years ago
3 0

Answer:

The correct answer 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).

Step-by-step explanation:

You might be interested in
Evaluate 4x-6y when x=-3 y=-1
pogonyaev

Answer:

First we substitute

4(-3) - 6(-1)

-7  -6

-13

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Explain whether the following given sets are closed under addition:
Ivan

Answer:

Step-by-step explanation:

a) Yes.

\forall\ a,b\ \in\ B,\ a+b\in B\ (since\ 0+0=0)

b) Yes

W=\{0,1,2,3,..,\}\ (whole\ numbers)\\\forall\ a,b\ \in\ 3W,\ a+b\in 3W\\since:\\a\ \in\ 3W \Longrightarrow\ \exists\ k_1\in W | a=3*k_1\\\\b\ \in\ 3W \Longrightarrow\ \exists\ k_2\in W | b=3*k_2\\\\a+b=3*k_1+3*k_2=3*(k_1+k_2) \in 3W\\

c) Yes

\forall n\ \in\ \mathbb{N}: \Longrightarrow\ n+1 \in\ \mathbb{N}\\

d) No

3\in V , 3+3=6\notin V\\

7 0
3 years ago
The container that holds the water for the football team is 7/10 full. After pouring out 5 gallons of water, it is 1/2 full. How
Shtirlitz [24]
7/10x - 5 = 1/2x
7/10x - 1/2x = 5
7/10x - 5/10x = 5
2/10x = 5
x = 5 / (2/10)
x = 5 * 10/2
x = 50/2
x = 25 gallons <===
6 0
3 years ago
Read 2 more answers
-16 + x = -15<br><br> CAN SOMEONE HELP ME PLEASE
Maksim231197 [3]

Answer: x= 1

Step-by-step explanation: Look at pic down below.

7 0
2 years ago
Linda returned a jacket that cost $40.99. She bought a purse that cost $35.50. Which statement is true? A. Linda will receive a
TiliK225 [7]
“D” because $40.99-$35.50=$5.49
5 0
3 years ago
Other questions:
  • Which transformation would you do to solve this
    11·1 answer
  • There are 45 vehicles in the parking lot.three fifths of the vehicles are minivans.how many of vehicles in the parking lot are m
    8·1 answer
  • 1.      Solve for s.<br><br>Rs + t = u
    11·1 answer
  • The picture is there please help me and have a nice day
    15·1 answer
  • Which situation could be represented by -18
    11·1 answer
  • The function (t) = 1,000(1.06)2t models the value of an investment after tyears.
    13·1 answer
  • Some help please? No links or I will report.
    5·2 answers
  • A Gallup Poll showed that 30% of Americans are satisfied with the way things are going in the United States. Suppose a sample of
    7·1 answer
  • Please help it will be brainlist as long as it’s right
    12·1 answer
  • What two whole numbers is the principal square root of 45 between? 3 and 4 4 and 5 5 and 6 6 and 7 please answer quickly ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!