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
andrew11 [14]
3 years ago
13

F(x) = x^2. What is g(x)

Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
  • If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
  • If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k  

f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

∴ f(x) is reflected about the x-axis

∴ Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

∴ - f(x) is translated 4 units down

∴ Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

∴ g(x) = - x² - 4

You might be interested in
During a sale, a shirt was marked down from $70 to $56. What was the percent decrease?
KATRIN_1 [288]

-20.00% is the percent decrease

3 0
3 years ago
Read 2 more answers
"Jim is leasing a warehouse and 20% of his monthly payment is going towards the purchase price of the property at a future date.
Free_Kalibri [48]

Answer:

i'm pretty sure that is something dealing with down payment.

Step-by-step explanation:

     Down payment is an initial upfront partial payment for the purchase of expensive items such as a car or a house. It is usually paid in cash or equivalent at the time of finalizing the transaction. A loan of some sort is then required to finance the remainder of the payment.  

   The main purposes of a down payment are to ensure that the lending institution has enough capital to create money for a loan in fractional reserve banking systems and to recover some of the balance due on the loan in the event that the borrower defaults. In real estate, the asset is used as collateral in order to secure the loan against default. If the borrower fails to repay the loan, the lender is legally entitled to sell the asset and retain enough of the proceeds to repay the remaining balance on the loan, including fees and interest added. A down payment, in this case, reduces the lender's risk to less than the value of the collateral, making it more likely that the lender will recover the full amount in the event of default.

    The size of the down payment thus determines the extent to which the lender is protected against the various factors that might reduce the value of the collateral, as well as lost profits between the time of the last payment and the eventual sale of the collateral.  

    Furthermore, making a down payment demonstrates that the borrower is able to raise a certain amount of money for long-term investment, which the lender may desire as evidence that the borrower's finances are sound, and that the borrower is not borrowing beyond his or her means.  

  If the borrower is unable to pay off the loan in its entirety, the down payment amount is forfeited.  

   In the United States, down payments for home purchases typically vary between 3.5% and 20% of the purchase price.[1] The Federal Housing Administration has advocated lower down payments since its inception in 1934, and, currently, borrowers that qualify for an FHA loan pay only 3.5% for a down payment. With rising home prices in the years from 2000 to 2007, lenders were willing to accept smaller or no down payment (either through 100% financing, seller-assisted down payment assistance, government down payment providers or by providing a combination of an 80% first and 20% second mortgages) so that more individuals could purchase homes as their primary residences. Currently, in the United States, the Department of Veterans Affairs offers complete financing for qualifying veterans. The USDA Home Loan program also offers complete mortgage loans with no down payment. These loans are available as direct or guaranteed loans and are offered to qualifying borrowers purchasing a home in a more rural area. Most state finance housing agencies offer down payment assistance. Down Payment Assistance programs are all different with certain requirements for each. State or local housing authorities, a non-profit organization, or lender usually set the requirements and conditions for the DPA program. Some programs require you or your loan officer to take a short course on Down Payment Assistance for first time home buyers. Homebuyer assistance programs vary by state and can amount to up to three percent of the loan amount for down payment or closing costs. Some states have special programs supporting home purchases in selected geographic areas.

There is more risk for lenders when individuals purchase a home as an investment property. Therefore, the lender may charge a higher interest rate and expect a higher down payment.

3 0
3 years ago
Stevie and Michael share their profit in a ratio 3:5. Stevie gets £120 more than Michael. How much profit did they make altogeth
Airida [17]

Answer:

£480

Step-by-step explanation:

we can multiply both terms of ratio with same number without changing the ratio.

Example

a:b = ax: bx (here we have multiplied both terms with x)\

Given

Stevie and Michael share their profit in a ratio 3:5

Let the profit for Stevie and Michael be 3x and 5x

Given Stevie gets £120 more than Michael

Profit for Steve = 120 + profit for Michael

3x = 120 + 5x

3x-5x = 120

=> -2x = 120

=> x= -120/2 = -60

As we see profit is negative , hence it cannot be solution.

It can be solved if Stevie and Michael share their profit in a ratio 5:3

(note: in ratio , bigger number should have bigger term in ratio)

Let the profit for Stevie and Michael be 3x and 5x

Given Stevie gets £120 more than Michael

Profit for Steve = 120 + profit for Michael

5x = 120 + 3x

5x-xx = 120

=> 2x = 120

=> x= x120/2 = 60

Profit for stevei = 5x =5*60 = 300

Profit for Michael = 3x = 3*60 = 180

Total profit for them together = 300 + 180 = 480 Answer.

8 0
3 years ago
Which image shows a plane slicing a double-napped cone to produce a hyperbola?<br><br> Answer is D
Butoxors [25]

The <u>second image</u> in the diagram is a hyperbola. As can be seen, the plane cutting the cone can be at any angle but never equal to the slant angle of the cone. This has a very important implication. The plane cuts both cones of the double-napped cone. The third double-napped cone of Figure 3 shows two hyperbolas.

4 0
2 years ago
The number sentence 4×7=(4×3)+( 4×4) is an example of what property?
zlopas [31]

Answer:

Assicative property

Step-by-step explanation:

Hope this helped!

4 0
2 years ago
Other questions:
  • Plz help with math!!!
    8·1 answer
  • The sum of the ages of Petra and her mother is 53. Her mother is 11 years more than twice as old as Petra. How old are Petra and
    6·2 answers
  • I would like some assistance please.
    6·1 answer
  • 12 is 40% of what number? (Hint: Divide) *<br> O<br> 24<br> 30<br> 36<br> O 48
    9·2 answers
  • Combine like terms to create an equivalent expression.<br> -1/2(-3y+10)
    8·2 answers
  • Construct "u - v", Label and find the component form and magnitude of the resultant vector.
    11·1 answer
  • PLS HELP WILL GIVE BRAINLIEST!!!!!
    13·2 answers
  • 20 ft to 8 yards in simplest form
    10·1 answer
  • Jack and his partner went to a party where four other couples were present. Every person shook hands with everyone else (other t
    8·1 answer
  • What is an equation of the line that passes through the points (−7,3) and (−4,3) ?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!