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
Leya [2.2K]
3 years ago
14

What is f(x) = 7x2 + 42x written in vertex form?

Mathematics
2 answers:
amid [387]3 years ago
7 0

Answer:

\boxed{\boxed{y = 7(x+3)^2-63}}

Step-by-step explanation:

The general vertex form of parabola is,

y=a(x-h)+k

where,

(h, k) is the vertex of the parabola.

The given function is,

\Rightarrow f(x) = 7x^2 + 42x

\Rightarrow y = 7x^2 + 42x

\Rightarrow y = 7(x^2 + 6x)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3-3^2)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3)-7\cdot 3^2

\Rightarrow y = 7(x+3)^2-7\cdot 9

\Rightarrow y = 7(x+3)^2-63

This is vertex form the given function.

max2010maxim [7]3 years ago
6 0
Hello,

y=7x²+42x
==>y=7(x²+2*3*x+9)-63
==>y=7(x+3)²-63


You might be interested in
Which graph corresponds to the following inequality? A. B. C. D.
zlopas [31]
I can see the question but if you add a picture maybe i’ll understand it a little more
6 0
2 years ago
(30 POINTS AND BRAINLIEST FOR BEST)
Romashka-Z-Leto [24]

Part A)

Multiply the amount he earned by 8.5%

8.5% written as a decimal is 0.085.

75,000 x 0.085 = $6,375

Part B)

Subtract the amount of tax from his earnings:

75,000 - 6,375 = $68,625

8 0
3 years ago
Simplest form 4 1/4 + 3 2/6
Ierofanga [76]
If you find a common denominator for the two, which is 12 it will make it easier to add. So 4 3/12 + 3 4/12 = 7 7/12.
your answer is 7 7/12.
4 0
3 years ago
Gergio ran 5 kilometers in 30min. If he ran at this same pace how many did he run each min
Leokris [45]

Answer:

6 minutes per kilometer

7 0
2 years ago
A very, very hungry guy goes to a fast food place and orders 2 chicken sandwiches
siniylev [52]

Answer:

Step-by-step explanation:

Huhuj

6 0
3 years ago
Other questions:
  • 1. Solve the shape equation puzzle:<br> = 8<br> =<br> = 15
    14·1 answer
  • Find the volume of the figure. help me please
    14·1 answer
  • If y= 1/2x and x= -14, find y
    11·1 answer
  • I’ll give brainlist to correct answers
    8·2 answers
  • During a game of roulette, a wheel is spun and a ball drops randomly into one of the wheel's
    12·1 answer
  • (x^5 y)/(x^2 y^6) please help i dont understand this
    8·1 answer
  • A ray cannot be perpendicular to a line. true or false? no guesses please
    8·2 answers
  • NO FILES OR LINK PLSSS HELP<br><br> a.14ft/yr<br> b.3ft/yr<br> c.7ft/yr<br> d.10ft/yr
    13·2 answers
  • According to the synthetic division below, which of the following statements are true? Check all that apply. ​
    13·1 answer
  • Please help me with this problem <br> Evaluate (-½·3)³
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!