3. The graph of F(x), shown below,
resembles the graph of G(X)=x2, but
it has been changed somewhat.
Which of the following could be the
equation of F(x)?
1
16
FOX0 = ?
G00= x
5
Answer Choices:
F(X)=-X²+2
F(x)= 3x2 +2
F(x)=2x2 - 2
F(x) = (2x + 2)2

The equation of f(x) from the graph if, G(x) = x², is F(x) = 2x² + 3, so option A is correct.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

here, we have,

Given:

G(x) = x²,

As you can see from the graph, the vertex of the parabola is (0, 3),

Write the equation of a parabola as shown below,

y = a(x - 0)² + 3

y = ax² + 3

Here a is the slope of the parabola,

slope = 4 / 2  (from the graph),

slope = 2

Thus, the equation will be,

y = 2x² + 3 or  F(x) = 2x² + 3

To know more about Graph:

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SUBIECTUL I

1. 1p Să se determine primul termen al unei progresii aritmetice (an

)n≥1 știind că rația este

egală cu 5 și suma primilor zece termeni ai progresiei este egală cu 245.
2. 1p Să se determine punctele de intersecție ale graficului funcției
f: R → R, f (x) = x

2 − 7x + 12, cu axele de coordonate.
3. 1p Să se determine numărul real a pentru care vectorii
u⃗ = (a − 2)i + (3a − 1)j și v = 2i +4j sunt coliniari.
4. 1p Să se calculeze ctg x, știind că sin x =
√3
2
, x ∈ (0, 90°
).
5. 1p Să se determine soluțiile reale ale ecuației 49x+2 = 7
x
2+5
.

6. 1p Să se rezolve ecuația : Ax
2+Cx
2 = 0, x∈ N , x≥ 2.

SUBIECTUL II
1 Se consideră matricea A(a) = (

1 0 √a
1 0 1
a 1 1

), unde a ∈ (0, ∞).

a) 0.5p Arătați că det(A(4)) = 1.
b) 0.5p Demonstrați că det(A(a) ∙ A(1) − A(a + 1)) > 0, pentru orice a ∈ (0, ∞).

2. Pe mulțimea de numere reale se definește legea de compoziție asociativă
x ∘ y = √3(xy + 4) − 3(x + y).
a) 0.5p Arătați că √3 ∘ 2 = √3.
b) 0.5pDemonstrați că x ∘ y = √3(x − √3)(y − √3) + √3, pentru orice numere reale x și y.
SUBIECTUL III

1 0.5p Se consideră funcția f: R → R, f(x) = e
2x
(x − 5).

Arătați că f
′
(x) = e
2x
(2x − 9), x ∈ R .
2. 0.5p Se consideră funcția f: R → R, f(x) =
x
√x
2+1
.

Arătați că ∫ f(x)√x
2 + 1
2
0

dx = 2.

Measure E is equal to?

For a weekly car rental, a car rental company charges customers a flat fee of $100 plus
10 cents for every mile traveled.
15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
m miles

Quadrilateral ABCD has the following angle measures. Find the Measure of angle A.
B: 59°
C: 103°
D: 100°

There are 18x10/1 players in league

part A: The league raised $1,560 through fundraisers. Trenton estimates the cost of buying jackets for each players in the league. He concludes that the league has raised enough money. Do you agree with Trenton? Explain.



part B: how much would it cost to order sweatpants for each player? write and solve an equation with a variable to show your work.


1: Which cost more: 136 sweatpants or 103 sweatshirts? How much more?



Parts A: Coach sandberg wants to order 115 jackets and 27 caps for $12 each.

Estimate the total cost for his order. Show your work


what is his total cost? compare your answer to your estimate

Jessica has 23,450 stickers in her sticker collection. Her sister has 20,993 stickers in her collection. Who has the most stickers?

White 3 6 9 12 15
Yellow 5 10 15 20 25

Which equation relates the number of yellow flowers, y, to the number of white flowers, w.

y=w+2
y= w-2
y = 2w
y= w/2

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per hour. The eastbound train travels at 85 miles per hour. How long will it take for the two trains to be 468 miles apart?

how many prime numbers are multiples of 8​

Three-fourths of the difference of a number and 7 is negative fifteen. What is the number? (Please solve very clear and step by step and I'll give u brainlest) ​

Equations
So I’m having trouble with this pls explain step by step
Here’s the question

W+2=12

Pls explain

the probability that a tin of paint is dented is 0.07 out of 3000 tins of paint,how many would you expect to be dented?

Josh volunteers at a library. One weekend, he put 234 returned books back on the shelves. Of those books 2/3 were hardcover books and the rest were paperback books. How many paperback books did Josh put back on the shelves?

1/4% of what is 7? what is the answer please


​

Happy Thanksgiving!!!!

Have a wonderful day​

Find the GFC of 72 and 64

Identify the set of perpendicular lines in this image.

A) AB, CD

B) CD, EF

C) AB, EF

D) AB, FE

Estimate the quotient for 608 divided by 23

HELP i need what is 4 divided by 120000 telll me plz in tried the calculator but my parents blocked the calculator on me so plz help me

1. What is the slope of this graph?
2. What is the y-intercept for the graph?

Triangle XYZ is similar to ABC.

Enter the missing side length.

) Which value is equivalent
[tex] {7}^{3} [/tex]
​

Kendrick had 2 / 3 of an ice cream cake left. Each piece on the ice cream cake is 1 / 12 of the entire cake. How many pieces are left?

A company charges $60 per day plus $0.50 per mile for truck rentals. If Greg rents a truck for 3 days and drives 150 miles, how much will the company charge?

7) What symbol should be used to show the relationship of 101.768 101.867 between the numbers?​

Write an equation for the hangers below and solve (will give brainless if correct!)​

The area between z = -1.25
And z = 0.32

Un estudiante de Astronomía sabe que Venus le da la vuelta al Sol 225 días y Marte 687 días . Si sabe que la última vez que v s , tierra y Marte se alinearon fue hace 1805645 días , ¿ en cuanto tiempo se volverán a alinear los 3 planetas al mismo punto?

BETWEEN WHAT TWO INTEGERS IS THE FIRST ZERO?

PlEase help you can edit the photo