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
Tamiku [17]
4 years ago
11

What is the inverse of this equation f(x) = 1/4(x+3)^2+2

Mathematics
1 answer:
Masja [62]4 years ago
4 0

Answer:

y = √(4x - 8) - 3

Step-by-step explanation:

y = 1/4(x + 3)² + 2

To find the inverse, switch the places of the x and y.  

x = 1/4(y + 3)² + 2

Solve for y.

x - 2 = (1/4(y + 3)² + 2) - 2

x - 2 = 1/4(y + 3)²

4(x - 2) = 4(1/4(y + 3)²)

4x - 8 = (y + 3)²

√(4x - 8) = √((y + 3)²)

√(4x - 8) = y + 3

√(4x - 8) - 3 = (y + 3) - 3

√(4x - 8) - 3 = y

y = √(4x - 8) - 3

You might be interested in
5x-y=7
seropon [69]

Answer:

see graph of y = 5x - 7

Step-by-step explanation:

If graphing is the task, you should rewrite the equation in a y = ax + b form. All straight lines can be described in this form, only the a and b determine which line it is.

Your equation 5x-y=7 has the 5x on the left side, so lets move it to the right. It will get a negative sign (this is the same as subtracting 5x like you did in your picture)

5x - y = 7

-y = 7 - 5x

Now we still have the -y which should be a +y. So we multiply left and right with -1 and get:

y = -7 + 5x

If we swap the -y and 5x (we can, because they are just an addition), we get:

y = 5x - 7

Now the equation is in its "normal" form. It's like the y = ax + b with a and b chosen as a=5 and b=-7.

The normal form is handy because you can immediately see the slope is 5 and the intersection with the y-axis is at y=-7.

3 0
4 years ago
A hollow cubical box is 0.30 m on an edge. this box is floating in a lake with one-third of its height beneath the surface. the
sasho [114]
Given hollow cubical box of side 0.30 m=3 dM
volume V=3^3=27 dm^3 = 27 L

Weight of box
= weight of (fresh) water (1 kg/L) displaced
= V/3 = 9 L of water = 9 kg

When water is filled so that the total weight of water equals the weight of volume of box, the top rim of the box will be at water level.

Remaining volume = 27-9=18L
height of 18L of water when water rushes in
= 18/(3^2) = 2 dm  (=0.2m)
5 0
4 years ago
Quinton writes this problem:
Svet_ta [14]

Its probaly: B, D, and E

3 0
4 years ago
Read 2 more answers
Cameron has 75% as many shirts as her brother how many shirts does Cameron have if her brother has 12 shirts​
SIZIF [17.4K]

Answer:

9 shirts

Step-by-step explanation:

take 12 times 0.75 and that will get you 9

8 0
3 years ago
Read 2 more answers
Adam narrowed money to buy a new car. The bank now has a lien on the car. What could happen if Adam doesn't make his payments on
evablogger [386]
The bank will claim the lien. A.K.A, collateral
7 0
3 years ago
Other questions:
  • Please help me with number 1 a
    10·1 answer
  • Are these ratios equivalent?
    9·1 answer
  • Multiply: (2x − 3)(x2 + 4x − 3)
    6·1 answer
  • Is 12/30 greater or less than 6/10
    10·1 answer
  • 75 points to the first person who helps
    7·1 answer
  • Can someone please help? Thanks!
    12·1 answer
  • What is the constant rate of change shown in the graph below?
    15·2 answers
  • The product of<br>2x and 3y​
    12·2 answers
  • John is standing in his backyard and decides to estimate the height of a tree. He stands so that the tip of his shadow coincides
    14·1 answer
  • What is ( 0 + -3) * ( -1 + 5) / ( 12+ -2)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!