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
Semmy [17]
1 year ago
11

Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward

Mathematics
1 answer:
Mrac [35]1 year ago
7 0

We know that the parabola opens downwards because it has a negative leading coefficient.

<h3></h3><h3>Why the parabola opens downwards?</h3>

For any polynomial, the leading coefficient is the coefficient in the term where is the large exponent of the polynomial.

The sign of that coefficient will determine the end behavior of the graph of the polynomial.

For the case of the parabola, a positive leading coefficient means that the parabola opens upwards, while a negative leading coefficient will mean that the parabola opens downwards.

Now, if you look at our parabola:

g(x) = -(x + 1)^2 - 3

You can see that there is a negative sign, thus when we expand the parenthesis, we will end up with a negative leading coefficient:

g(x) = -x^2 - 2x + 1 - 3 = -x^2 -2x - 2

So we know that the parabola opens downwards.

If you want to learn more about parabolas:

brainly.com/question/4061870

#SPJ1

You might be interested in
Which value for x completes the conditional relative frequency table by column? 0.17 0.25 0.40 0.85
Alchen [17]

The value of x that completes the conditional relative frequency table by column is 0.85

<h3>How to determine the value of x?</h3>

From the complete question, we have the following column elements

0.15   x     1

Express a sum

0.15 + x = 1

Subtract 0.15 from both sides

x = 0.85

Hence, the value of x that completes the conditional relative frequency table by column is 0.85

Read more about conditional relative frequency at:

brainly.com/question/22728236

#SPJ4

4 0
2 years ago
Sean operates a lawn-cutting business. He charges $15 for a single lawn and $25 for a front and back lawn. Sean made $475 from 2
topjm [15]

The system of equations that models the given situation is given as follows:

  • x + y = 25.
  • 15x + 25y = 475.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: Number of single lawns cut.
  • Variable y: Number of front and back lawns cut.

He had 25 customers, hence:

x + y = 25.

He charges $15 for a single lawn and $25 for a front and back lawn, and made a total of $475, hence:

15x + 25y = 475

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

3 0
1 year ago
A hotel room costs $ 75 a night and your group is getting 3 rooms for 4 days. What is the cost?
Dvinal [7]
Then, it would be: 75*3*4 = $900
7 0
3 years ago
20 POINTS!!
yaroslaw [1]
This is the answer. I did it and got that. You do distributive and then combine like terms.

7 0
3 years ago
NEED HELP ASAP NOW OR I DIE. -9 to the 28th power as a positive or negative explain​
alexdok [17]

Answer:

Positive.

Step-by-step explanation:

Negative to a even power becomes positive

4 0
3 years ago
Other questions:
  • Round 0.085416 to the nearest ten thousandth.
    6·1 answer
  • The diagram is a straightedge and compass construction. A is the center of one circle,
    8·1 answer
  • P(x) = 2x -1
    11·2 answers
  • What is 0.45 as a fraction in simplest form how do you show your work
    14·1 answer
  • A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per
    15·2 answers
  • The ratio of Aziz's money to Osman's money was 2:1 at first. After Aziz spent $10 ratio became 4:3. How much money did each boy
    6·1 answer
  • What is the length of a toothpick in millimeters
    5·1 answer
  • Luke puts $35 in his savings account every month. Use a calculator to find how much money he will save in a year.
    5·2 answers
  • 4.42 × 10–10 4.2 × 1010
    11·1 answer
  • Perform the operation. Enter your answer in scientific notation.<br> 9 x 10^*8 - 5.3 x 10^*8 =
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!