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
Tanya [424]
3 years ago
13

Help with Algebra! Completing the square!

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
7 0
B. First off , standard form of a 2nd degree equation is Ax^2 + Bx + C. So look at the coefficient of Ax^2 which is -2.
If positive, the parabola opens up and has a minimum.
If negative, the parabola opens down and has a maximum.

A. To find the vertex (in this case maximum),
Graph the equation -OR—
make a table. — OR—
Find the zeroes and find the middle x-value
-2x^2 - 4x + 6
-2(x^2 +2x - 3 = 0
-2 (x - 1) ( x + 3)=0
x - 1 = 0. x + 3 = 0
x = 1. x = -3. So halfway would be at (-1, __).
Sub in -1 into original equation -2x^2 -4x + 6 … -2(-1)^2 -4(-1) + 6 = -2 +4 +6 = 8
So the vertex is (-1,8)


natulia [17]3 years ago
6 0

Answer:

Part a:f(x)=-2(x+1)^2+8

Part b: Maximum value

Step-by-step explanation:

Part a.

The given function is f(x)=-2x^2-4x+6.

We need to complete the square to obtain the vertex form

f(x)=-2(x^2+2x)+6

Add and subtract the square of half the coefficient of x.

f(x)=-2(x^2+2x+(1)^2)--2(1)^2+6

f(x)=-2(x^2+2x+1)+2+6

The quadratic trinomial within the parenthesis is now a perfect square

f(x)=-2(x+1)^2+8

The vertex form is f(x)=-2(x+1)^2+8

Part b

Comparing f(x)=-2(x+1)^2+8 to f(x)=a(x-h)^2+k, we have a=-2.

Since a is negative the vertex is a maximum point.

Hence the function has a maximum value

You might be interested in
Help I need answers now
Juli2301 [7.4K]

Answer:

<u>The Answer in Exact Form:</u>

-3/22

<u>In Decimal Form:</u>

-0.136

Step-by-step explanation:

-\frac{3}{2}÷5\frac{1}{2}=-3/22

8 0
3 years ago
5b - 5 - 12b - 7<br> I need steps please and thank you
Misha Larkins [42]

Answer:

7b-12

Step-by-step explanation:

12b-5b-7-5

7b-12

8 0
3 years ago
Please help me ASAP!
FinnZ [79.3K]

A. d=50t B. 50,100,150,200,250 C. 50 days

5 0
3 years ago
What is a 365 times 17
Volgvan

Answer:6205

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How m
Orlov [11]

Answer: No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

7 0
2 years ago
Other questions:
  • 13=w-14/2 what does w equal
    12·1 answer
  • What is 2 plus 2jdjbsksnsksnjsjzjz
    6·2 answers
  • the average cost for a company to produce x items is x^2-10x+43 dollars. how many items should the company produce to minimize t
    10·1 answer
  • Write the sentence as an equation <br>k reduced by 340 is equal to 7​
    14·1 answer
  • Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer)
    11·2 answers
  • Find all the points that are on the x-axis that are a distance of 13 units from the point (12,-5).
    7·1 answer
  • 1 - 1 + 1 ÷ 4333 *7888 *0<br>.<br>.<br>.<br>.<br>.<br>.<br>.<br>.<br>.<br>.<br>.<br>.<br>~_~​
    12·1 answer
  • 45% of z is 72. Find the value of z. <br><br> pls help
    14·1 answer
  • A sequence is shown in the graph.
    14·1 answer
  • Write algebraic expressions to represent the following:
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!