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
Stella [2.4K]
3 years ago
14

What is y=4(x+1)^2-4 in standard form​

Mathematics
1 answer:
just olya [345]3 years ago
6 0

Answer:

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

(x + 1)² = x² +2*x*1 + 1² = x² + 2x + 1

y = 4(x+1)² - 4

y = 4(x² + 2x + 1) - 4

y = 4*x² + 4*2x + 4*1 -4

y = 4x² + 8x + 4 - 4

y = 4x² + 8x

You might be interested in
FITNESS Alejandro is a personal trainer. For his clients to gain the maximum benefit from their exercise, Alejandro calculates t
katen-ka-za [31]

Answer:

1). f^{-1}(x) = (200 - \frac{x}{0.85})

2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.

Step-by-step explanation:

Function representing the maximum heart rate is,

f(x) = 0.85(220 - x)

Here x = age of the client

Equation form of the function will be,

y = 0.85(220 - x)

To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.

x = 0.85(220 - y)

220 - y = \frac{x}{0.85}

y = 220 - \frac{x}{0.85}

Now convert this equation into a function.

f^{-1}(x) = (200 - \frac{x}{0.85})

Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.

8 0
4 years ago
The measures of two supplementary angles have a ratio of 4:5. What is the measure of the larger angle?
kherson [118]
First, we know that all supplementary angles add to 180°. Then, since the angles are in the ratio 4:5, we can also represent these angles as 4x and 5x respectively. Both angle measures have the same variable (x) because no matter how large the angles are, they must have a common multiple because they are in a ratio. We can then write the formula 4x+5x=180 and solve for x. First, you combine like terms to get 9x=180. The you divide both sides by 9 to get x=20. Then, we can find both angles to be 80 (4*20) and 100 (5*20) by plugging them into 4x and 5x. Since 100 is larger, that is your answer.

I hope this helps.
3 0
4 years ago
Read 2 more answers
HELP ME PLEASE I NEED HELP ASAP
Nat2105 [25]

Answer:

82 i think

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

im so sorry if its wrong

6 0
3 years ago
Read 2 more answers
$5 for 250 text messages how much for 300 texts?<br><br><br><br>Can somebody plz help me
Lelechka [254]
Because of the low amount of dollars used, it is easier to use cents. 500 cents will buy you 250 text messages. You now need to find how much it cost to do one text message. Divide the price for 250 by the amount, and you will find that each text cost 2 cents. Now multiply by the 300 texts to find the total amount. 2 cents times 300 messages is 600 cents, or $6.

$6
4 0
3 years ago
Amir buys a coat that cost $125.00. He has to pay 6.25% state tax on the coat. He also has to pay 2.0% local tax on the cost.Wha
gulaghasi [49]

Answer: $133.8

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • -1/2 +2=-x+7 how do you figure this out​
    11·1 answer
  • *ANSWER ASAP PLS* How can someone live smarter to reduce his/her carbon footprint? a.) remove insulation b.) live in a smart com
    6·1 answer
  • Suppose that f(x,y) is a smooth function and that its partial derivatives have the values, fx(8,5)=2 and fy(8,5)=2. Given that f
    11·1 answer
  • Given the expression 2/5 - 4/6, write the addition problem that is equivalent to it
    11·1 answer
  • Please answer <br> Step by step
    9·1 answer
  • I need help asap please help
    7·1 answer
  • On a number line, graph all the temperature that are warmer than -2 degrees Celsius
    8·1 answer
  • URGENT !! Hi guys I really need help quickly, Can anybody please solve these and also write/type out each part of the equation t
    14·2 answers
  • ( BRAINLIEST AND THANKS! )
    13·1 answer
  • 11.44 plus O.7 eqalls
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!