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
Lynna [10]
3 years ago
12

Find the vertex, the axis of symmetry, and the y-intercept of the graph.

Mathematics
1 answer:
UNO [17]3 years ago
6 0

<u>Given</u>:

Given that the graph of the parabola.

We need to determine the vertex, the axis of symmetry and the y - intercept of the graph.

<u>Vertex:</u>

The vertex of the parabola is the point at which the parabola changes its direction.

From the graph, it is obvious that the parabola changes its direction at the point (-2,0)

Hence, the vertex of the graph is (-2,0)

<u>Axis of symmetry:</u>

The axis of symmetry is the line that divides the parabola exactly into two equal halves.

Hence, from the graph, it is obvious the line x = -2 divides the graph exactly into two equal halves.

Hence, the axis of symmetry is x = -2.

<u>y - intercept:</u>

The y - intercept of the parabola is the value of y when x = 0.

In other words, the y - intercept of the graph is the value of y when the line passes through the y - axis.

Thus, from the graph it is obvious that when x = 0, the value of y is -3.

Hence, the y - intercept of the graph is -3.

You might be interested in
Which number is irrational?<br> -4<br> 2/9<br> 8.26<br> 11
kipiarov [429]

Answer:

None of them are irrational.

Step-by-step explanation:

An Irrational Number is a real number that cannot be written as a simple fraction.

Therefore:

-4 can be written as -4/1

2/9 is already in fraction

8.26 can be written as 826/100

11 can be written as 11/1

None of them are irrational.

However numbers like  \sqrt{x}, \pi are irrational as they can not be represented as fractions.

3 0
2 years ago
If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third. What are the i
Murljashka [212]

Answer:

<h2>45, 46, 47</h2>

Step-by-step explanation:

n, n + 1, n + 2 - three consecutive integers

The equation:

138 - n = (n + 1) + (n + 2)

138 - n = n + 1 + n + 2                 <em>combile like terms</em>

138 - n = 2n + 3           <em>subtract 138 from both sides</em>

-n = 2n - 135               <em>subtract 2n from both sides</em>

-3n = -135            <em>divide both sides by (-3)</em>

n = 45

n + 1 = 46

n + 2 = 47

6 0
3 years ago
Question: is 1 &gt; 0.99999999...?<br>Prove algebraically.
Crazy boy [7]
No.  We claim that 1=0.\overline{9} and use algebra to prove the statement.

Let x=0.\overline{9}.  Multiply this by ten to get 10x=9.\overline{9}.  Subtract the initial equation to give 9x=9 and divide by 9 to see that x=1.  Substituting into the original equation gives 1=0.\overline{9}, proving the desired statement.
6 0
3 years ago
Why do prices increase when demand for a product is high?
andrew11 [14]

Answer:When demand exceeds supply, prices tend to rise. ... If there is a decrease in supply of goods and services while demand remains the same, prices tend to rise to a higher equilibrium price and a lower quantity of goods and services. The same inverse relationship holds for the demand for goods and services.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Which decimal has the greater value: 8,516.50 or 8,516.90?
Lerok [7]
8,516.90 has the greater value.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Jessica has 7 times as many paint brushes as Mike. Mike has 14 paint brushes. How many paint brushes p, does Jessica have?
    7·1 answer
  • Mariya is solving the quadratic equation by completing the square.
    5·2 answers
  • Jose traveled 315 miles in 7 hours. What was Jose's unit rate of speed, in miles per hour?
    12·1 answer
  • Prove that Zn Zn is notisomorphic to any subgroup of Zm for any m.
    8·1 answer
  • Can a triangle be formed with the sides lengths of 10 cm, 2 cm and 12 cm?
    12·1 answer
  • Need help ASAP pls due in 5 mins
    8·2 answers
  • Is 8 yard, 9 yards, and 12 yards right triangle
    7·1 answer
  • Solve the two-step equation 5x + 6 = 26
    14·2 answers
  • Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2
    5·2 answers
  • Which of the following points are in the second quadrant of the xy plane?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!