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
Reptile [31]
4 years ago
9

Determine the equation of the graph and select the correct answer below.

Mathematics
2 answers:
Svetllana [295]4 years ago
5 0

Answer:

The standard equation of parabola:

y =a(x-h)^2+k             ....[1]

where, vertex = (h, k) and a is any constant value.

As per the statement:

In the given graph of parabola:

Vertex of parabola = (-2, -4)

⇒h = -2 and k= -4

Substitute in [1] we have;

y =a(x+2)^2-4               ....[2]

Since, the graph of parabola cuts at y-axis at (0, -8)

Substitute this point in [2] to solve for a, we have;'

-8=a(0+2)^2-4

⇒-8=a(2)^2-4

Add 4 to both sides we have;

-4=a(2)^2

⇒-4=4a

Divide both sides by 4 we have;

a = -1

then, the equation become:

y =-1(x+2)^2-4

Therefore, the equation of the graph is, y =-(x+2)^2-4

kati45 [8]4 years ago
4 0
F(x+2)= -x^2 -4. Use basic transformations
You might be interested in
Multiples of 16984 is what I need
goldfiish [28.3K]
To find multiples of a number, simply multiply the number by any whole number. So, I've calculated the first ten mutliples of 16984 for you.
1 * 16984 = 16984
2 * 16984 = 33968
3 * 16984 = 50952
4 * 16984 = 67936
5 * 16984 = 84920
6 * 16984 = 101904
7 * 16984 = 118888
8 * 16984 = 135872
9 * 16984 = 152856
10 * 16984 = 169840

Hope this helps! :)
6 0
3 years ago
Practice applying percents to consumer situations. reinforce. Ella bought a pair of shoes on sale for $15. If they were on sale
Zielflug [23.3K]

Answer:11.25 is the answer

Step-by-step explanation:

3 0
3 years ago
What is the sope of (5,9) and (4,11)
Vikentia [17]

Answer:

The answer to your question is slope = -2

Step-by-step explanation:

Data

A = (5, 9)

B = (4, 11)

slope = m = ?

Slope means the steepness of a line.

Process

1.- Write the formula to calculate the slope

   m = (y2 - y1) / (x2 - x1)

   x1 = 5   y1 = 9   x2 = 4   y2 = 11

2.- Substitution

    m = (11 - 9) / (4 - 5)

3.- Simplification

    m = 2/-1

4.- Result

    m = -2

4 0
4 years ago
The sum of three consecutive numbers is 414. What is the 2nd number?
Naya [18.7K]

The equation for what the 2nd number of three consecutive numbers that equal to 414 is : x+(x+1)+(x+2)=414

Multiply and Simplify:

x+x+1+x+2=414

3x+3=414

Subtract 3 from both sides:

3x+3-3=414-3

3x=411

Divide three by both sides to get answer:

3x/3=411/3

x=137.

If you want to check if its correct add the three numbers that come next:

137+138+139=414.

5 0
3 years ago
Read 2 more answers
A sample of 25 commuters in the Washington, D.C., area yielded the sample mean commute time of 27.97 minutes and sample standard
xxMikexx [17]

Answer:

The 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is between 22.7994 minutes and 33.1406 minutes. The interpretation is that we are 99% sure that the true mean ommute time of all commuters in Washington D.C. area is between 22.7994 minutes and 33.1406 minutes.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575*\frac{10.04}{\sqrt{25}} = 5.1706

The lower end of the interval is the mean subtracted by M. So it is 27.97 - 5.1706 = 22.7994 minutes

The upper end of the interval is the mean added to M. So it is 6.4 + 0.3944 = 33.1406 minutes.

The 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is between 22.7994 minutes and 33.1406 minutes. The interpretation is that we are 99% sure that the true mean ommute time of all commuters in Washington D.C. area is between 22.7994 minutes and 33.1406 minutes.

5 0
4 years ago
Other questions:
  • Write the fraction or mixed number as a decimal 5 9/10<br>​
    5·1 answer
  • How many 30 degree angles does it take to make 180
    6·2 answers
  • What is −123⋅(−514) ?<br><br><br> −834<br><br> −516<br><br> 516<br><br> 834
    5·2 answers
  • What is the scale factor
    15·2 answers
  • Which five tool are most common to carpentry
    6·2 answers
  • Enter the answer to the problem below, using the correct number of
    6·1 answer
  • Janet bought 5 yards of fabric 2 1/4 feet wide to make curtains. She used 1/3 of the fabric to make a long set of curtains and t
    9·1 answer
  • A slide 4.1 meters long makes an angle of 35º with the ground. To the nearest tenth of a meter, how far above the ground is the
    8·1 answer
  • Fill in the blank by choosing the correct symbol (&lt;, &gt;, or = ): -6 _____ -22 *
    15·2 answers
  • Find the area of the trapezoid?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!