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
kirill [66]
3 years ago
12

Suppose that F(x) = x^2 and G(x) = 2x^2-5. Which statement best compares the graph G(x) with the graph of F(x)?

Mathematics
2 answers:
notsponge [240]3 years ago
8 0
I believe the correct answer from the choices listed above is option  D. The graph <span>G(x) as compared to the graph of F(x) would be that the </span><span>graph of G(x) is the graph of F(x) stretched vertically and shifted 5 units down. 2 is a stretch factor and -5 is the shift downwards of the graph. Hope this answers the question.</span>
Trava [24]3 years ago
4 0

Answer:

D.The graph G(x) is the graph of F(x) stretched vertically and shifted 5 units down.

Step-by-step explanation:

We are given that

F(x)=x^2

G(x)=2x^2-5

We have to find that which statement compares best the graph G(x) with graph of F(x).

Graph of F(x) is the graph of parabola along y- axis with vertex (0,0).

Graph stretched vertically 'a' times by the formula y'=ay

Now, the graph F(x) is stretched vertically  2 times initial graph then

F'(x)=2x^2

Now , shift the graph 5 units down then we get

G(x)=2x^2-5

The general equation of parabola along y- axis is given by

y=(x-h)^2+k

Where (h,k)=Vertex

Compare the graph G(x) with the general equation of parabola then , we get h=0, k=-5

Therefore, vertex of G(x) is at (0,-5).

Hence, the graph G(x) is the graph of F(x) stretched vertically and shifted 5 units down.

You might be interested in
The table shows the cost of a taxicab ride for several driving distances.
sveticcg [70]

Answer:

ion even know g my fault

5 0
3 years ago
Read 2 more answers
A business could not collect $5,000 that it was owed. The total owed to the business was $100,000. What fraction of the total wa
son4ous [18]

Total owed to the business = $100,000

amount that could not be collected = $5000

Fraction of total not collected

\text{fraction not collected=}\frac{5000}{100000}=\frac{5}{100}=\frac{1}{20}

3 0
1 year ago
Solve the equation.
Vinil7 [7]
If you would like to solve the equation x + 1/6 = 6, you can do this using the following steps:

x + 1/6 = 6       /-1/6
x + 1/6 - 1/6 = 6 - 1/6
x = 6 - 1/6
x = 36/6 - 1/6
x = 35/6
x = 5 5/6

The correct result would be C. x = 5 5/6.
5 0
3 years ago
A dog runs 100 yards from one corner of a rectangular park to the opposite corner. If the length of the park is 28 yards, what i
kap26 [50]

9514 1404 393

Answer:

  96 yards

Step-by-step explanation:

The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.

The diagonal is the hypotenuse, so we have ...

  100² = 28² + w²

  w = √(10000 -784) = 96

The width of the park is 96 yards.

_____

<em>Additional comment</em>

The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).

You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.

8 0
3 years ago
Which fraction and decimals in order from least to greatest <br> -2.3<br> -2 4/5<br> -2.6
7nadin3 [17]
-2.8, -2.6, -2.3

Hope this helped :)
6 0
3 years ago
Other questions:
  • Mia spins the spinner two times. what is the probability that the arrow will land on 2 both times
    10·1 answer
  • The perimeter of an isosceles triangle is 14 cm. One of its sides is twice longer than another of its sides. Find all sides of t
    12·2 answers
  • Please help me i need an answer
    11·1 answer
  • Can you plz help me plz someone help me I need the help from you guys plz help me plz I need it badly pls someone help me plz an
    7·1 answer
  • P(n) models the price (in dollars) of a pack of n bulbs at a certain store.
    7·2 answers
  • Tom bought 3 packages of Skittles for $1.25 each. How much did he spend?
    11·2 answers
  • Given YZ tangent to J at point Y, and the mWYZ =104 what is the mWXY
    9·1 answer
  • Daisy purchased a food processor
    12·1 answer
  • Pls answer 5a b and c for brianlist
    10·1 answer
  • The null hypothesis claims that the proportion of community college students who work full-time is 0. 45. The alternative hypoth
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!