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
aleksandrvk [35]
2 years ago
15

Write the function in standard form f(x) = -4 (x - 6)^2 + 15

Mathematics
2 answers:
amid [387]2 years ago
7 0

9514 1404 393

Answer:

  f(x) = -4x^2 +48x -129

Step-by-step explanation:

It usually works well to compute the square first. That is, simplify according to the order of operations.

  f(x) = -4(x^2 -12x +36) +15

  f(x) = -4x^2 +48x -144 +15

  f(x) = -4x^2 +48x -129

Alchen [17]2 years ago
5 0

Answer:

f(x) = -4x² + 48x - 129

Step-by-step explanation:

Given the quadratic function in vertex form, f(x) = -4(x - 6)² + 15:

In order to transform the given function into its standard form, f(x) = ax² + bx + c, expand the squared binomial (without distributing -4 and adding 15).

f(x) = -4(x - 6)² + 15

f(x) = -4(x² - 6x - 6x + 36) + 15

Combine like terms:

f(x) = -4(x² -12x + 36) + 15

Distribute -4 into the parenthesis:

f(x) = -4x² + 48x - 144 + 15

Combine the constants:

f(x) = -4x² + 48x - 129 ⇒ This is the quadratic function in standard form where a = -4, b = 48, and c = -129.  

You might be interested in
0.02 is 1/10 of 0.2. True or false ??
Len [333]

Answer:

true

Step-by-step explanation:

1/10 * 0.2 = 0.02

Hope this help :)

6 0
3 years ago
Henry has a faulty watch. It is losing minutes every day. How many minutes will be lost after 7 days?
Ann [662]
A I think this is the answer but I’m not sure
6 0
2 years ago
Read 2 more answers
A circle with area 9pi has a sector with a central angle of 1/9pi radians. What is the area of a sector? Either enter an exact a
sveta [45]

Answer:

Step-by-step explanation:

5 0
3 years ago
What is 150% as a fraction
Helen [10]
150% as fraction is 150/100 = 15/10 = 3/2 and thats the simplest form :)))
i hope this is helpful 
have a nice day 
6 0
3 years ago
Read 2 more answers
I need help on 10 please explain
kumpel [21]
Lets approach this problem differently
15 gallons  ....you drive ......330 miles lets divide both numbers by 15 to find out how much you can go with 1 gallon
1 gallon..... you drive.....330/15=22
you car goes 22 miles per 1 gallon
if you put 20 gallons
20*22=440 miles



6 0
3 years ago
Other questions:
  • What type of association is shown by the scatterplot
    11·2 answers
  • Distribute5x (3x + 7)
    13·1 answer
  • Which is the correct interpretation of the expression 7 + (-12)
    11·1 answer
  • What is the coefficient of the c-term of the algebraic expression 14 a minus 72 r minus c minus 34 d?
    8·2 answers
  • A triangle with side lengths of 12in 16in and 24 inches is a right triangle<br>true or false​
    14·1 answer
  • Write and solve an equation to find the width w of the rectangle. Explain how you know what units to use with the answer
    6·1 answer
  • Randalyn saved 10% on a
    9·1 answer
  • QUICK HELP!! If two linear equations have one solution, then the...
    6·1 answer
  • Oceanside Bike Rental Shop charges 13 dollars plus 8 dollars an hour for renting a bike. Tim paid 45 dollars to rent a bike. How
    7·1 answer
  • Devika buys 30 notebooks and 15 pens. Each book costs Rs40 and that of each pen is Rs15. Find out the total amount she spent.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!