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
mars1129 [50]
3 years ago
15

Re-write the quadratic function below in Standard Form y = 2(x + 5)² + 3.​

Mathematics
1 answer:
zmey [24]3 years ago
7 0

Answer:

2x^{2} +20x+53

Step-by-step explanation:

2(x^2 + 10x + 25) + 3

2x^2 + 20x + 50 + 3

2x^2 + 20x + 53

You might be interested in
A basketball player shoots a basketball that reaches a height above 15 feet before landing back on the ground exactly after 7 se
Papessa [141]

Answer:

I and IV

Step-by-step explanation:

Since the height of the basketball reaches above 15 feet, hence the maximum of the function should be greater than 15 feet. Also at 7 seconds, the ball is on the ground, hence f(7) = 0 feet

The maximum of a function is at x = -b/2a

i) f(x) = -(x-3)² + 16 = -(x² - 6x + 9) + 16 = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 16 = 16 > 15

Also f(7) = - (7 - 3)² + 16 = 0

Hence this option is correct

ii) f(x) = -x² + 8x - 7

The maximum of a function is at x = -b/2a = -8 / 2(-1) = 4

f(4) = -4² + 8(4) - 7 = 9 < 15   not correct

Also f(7) = - 7² + 8(7) - 7 = 0

Hence this option is not correct since the maximum f(4) = 9 < 15  

iii)  f(x) = -(x-3)² + 14 = -(x² - 6x + 9) + 14 = -x² + 6x + 5

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 14 = 14 < 15

Also f(7) = - (7 - 3)² + 14 = -2

Hence this option is not correct since the maximum f(4) = 9 < 15 and f(7) ≠ 0

iv)f(x)  = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3)² + 6(3) + 7 = 16 > 15

Also f(7) = - (7)² + 6(7) + 7 = 0

Hence this option is correct

3 0
3 years ago
Devon is trying to find the unit price on a 6-pack of drinks on sale for 2.99$. His sister says that at that price, each drink w
Andrew [12]

She is not correct, because $3.00 divided by 6 is 50 cents, so by using that equation she could evaluate that she is wrong and find the correct answer.

6 0
3 years ago
Read 2 more answers
What is 7a +6c+9a-15c
jeka94

                               7a + 6c + 9a - 15c

-- Look for all the 'a's      7a,  9a

-- Addum up                    16a

-- Look for all the 'c's      6c,  -15c

-- Addum up                     -9c

-- Write the results         16a - 9c
3 0
3 years ago
Read 2 more answers
A. Let a, b, c be positive integers and suppose that
kodGreya [7K]

Answer:

Step-by-step explanation:

a|c means that c=a*k k is some positive integer. We know that b|c so b| ak and (a,b)=1, so it must be b|k, i.e k=b*r, r is some positive integer number. Now we have that c=abr, so ab| c.

B) if x and x’ are both solution then we have that

mi | x-x’ for every i.

By a) we have that m1m2...mk| x-x’, so x and x’ are equal by mod od m1m2...mk.

5 0
3 years ago
What is minus 6 plus 2?<br><br><br> -4<br><br><br> 8<br><br><br> 4
schepotkina [342]

Answer:

-4

Step-by-step explanation:

-6+2=-4

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the best estimate of the residual when x = 3?<br><br> –0.5 <br> –1.5 <br> 1.5 <br> 0.5
    14·1 answer
  • The legs of a right triangle are 12 cm and 16 cm. What is the length of the hypotenuse?
    5·2 answers
  • Consider the two functions. Which statement is true?
    13·2 answers
  • Can anyone solve this I really need help
    13·1 answer
  • 42=18t +4 (t +5)<br><br><br> Plz help
    14·2 answers
  • Evaluate 210three x 12three
    13·1 answer
  • How do i change my username...they gave me a random gross one
    12·1 answer
  • Explain how to find the slope of the line
    10·1 answer
  • Pls help quick <br><br><br>If 2+2+2=8<br><br><br>a-b
    6·1 answer
  • The value of x is 6. What is the value of y ?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!