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
miss Akunina [59]
3 years ago
5

Fill in the blanks concerning the following quadratic function: f(x)=−x2−4x+5

Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0

Answer:

Step-by-step explanation:

Given quadratic function is,

f(x) = -x² - 4x + 5

Leading term of the quadratic function is 'x²'

Coefficient of this leading term is (-1).

Now we will convert this standard equation into vertex form,

f(x) = -x² - 4x + 5

     = -(x² + 4x) + 5

     = -[x² + 2(2x) + 4 - 4] + 5

     = -[x² + 2(2x) + 2²] + 4 + 5

     = -(x + 2)²+ 9

f(x) = -(x + 2)² + 9

Since, coefficient of the leading term is negative the parabola will open downwards.

Vertex form of the function is given by,

g(x) = -(x - h)² + k

(h, k) is the vertex.

By comparing the equation of the function 'g' with the function 'f',

(-2, 9) will be the vertex of the function which is the maximum point of the function.

You might be interested in
Question 3
crimeas [40]

Answer:

D = 141

Step-by-step explanation:

The given quadratic equation is

5x^2+9x=3\\\\5x^2+9x-3=0.

It is required to find the value of the discriminant. The value of discriminant  of any quadratic equation is given by :

D=b^2-4ac

Here, a = 5, b = 9 and c = -3

On plugging all the values, we get :

D=(9)^2-4\times 5\times (-3)\\\\D=141

So, the value of discriminant for y is 141.

8 0
2 years ago
could someone please help me with this i suck at math and please try to explain to me how exactly i could solve it on my own lik
anastassius [24]

Answer:

18

Step-by-step explanation:

Just multiply them. 6 x 3 would be the formula in this situation. The other formula would be bh or bxh.

6 0
2 years ago
Read 2 more answers
Last summer, an ice cream shop sold a small ice cream for $1.25 and a large ice cream for $3.75. The ice cream shop decided to r
vovangra [49]

Answer:C

Step-by-step explanation:

keeping proportional and thats the only answer where the difference is still $2.25

8 0
2 years ago
Read 2 more answers
I need x and the two angles
barxatty [35]

Answer:

x= 13

both angles are equal to 106

Step-by-step explanation:

8x + 2= 14x - 76

-8x +76 - 8x +76

78 = 6x

78/6 = 13

8 (13) + 2 = 104 + 2 = 106

14(13) - 76 = 182 - 76 = 106

7 0
2 years ago
2(5x + 4) = 8<br> 10x + 8 = 8<br> -[?] - [ ]
GarryVolchara [31]

Answer:

-5-2

Step-by-step explanation:

10*+8=8

-5-2

big one is a great place to be written and then we are going to be able hi I love the way your house for me either ir you are you excited hi I love thet are ready for the good of the good

4 0
2 years ago
Other questions:
  • Y/6-3=-11<br> What does y equal?
    10·2 answers
  • Prove it :
    10·1 answer
  • Out of 21 Students in a class three seventh are boys and Four seventh are girls. How many are girls and how many are boys
    13·1 answer
  • thd unit price for frozen spinach is 3.2 centsper ounce. at what price how much would 1 pound of spinach cost round off the answ
    6·1 answer
  • The sum that represents the number of tickets sold if 35 tickets were sold on monday, half of the remaining tickets were sold on
    5·1 answer
  • Order 0.12, 0.1, 0.02, and 0.21 in order from least to greatest.
    10·2 answers
  • Solve the inequality for n.<br>14 &lt; n - 3​
    12·2 answers
  • Diego is playing basketball. While running at 7 km/h toward a basketball hoop, he throws the ball at the net. The ball travels a
    9·2 answers
  • What is 56x1<br> Just a regular normal question from me<br> Your welcome in advance
    7·2 answers
  • When driving in foggy weather driver should not their headlight
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!