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
tia_tia [17]
3 years ago
5

In what ways does adding a constant or coefficient to a quadratic equation affect the graph?

Mathematics
2 answers:
nekit [7.7K]3 years ago
4 0
When you add a constant to a quadratic equation, the vertex of the graph will change depending on whether the constant is positive or negative.
When you add a coefficient to a quadratic equation, the graph will widen or narrow depending on whether the coefficient is positive or negative.
The axis of symmetry always passes through the vertex.
The key features of a quadratic graph are vertex, axis of symmetry, intercepts, focus, latus rectum, and directrix.
Radda [10]3 years ago
4 0
<h2>Answer with explanation:</h2>

<u>Ques 1)</u>

The quadratic equation is given by:

y=a(x-h)^2+k

                      Vertex is: (h,k)

Hence, on adding a simple constant the y-coordinate of the vertex gets changed , since there is a change in the term "k"

and adding a coefficient to the quadratic equation will change the graph in the manner that it could be wide or narrow depending on whether the coefficient is greater than 1 or less than 1 and also the sign of the coefficient describes whether the graph is open upward or downward.

<u>Ques 2)</u>

The axis of symmetry and the vertex are related in the manner that the axis of symmetry always passes through the vertex of the graph.

i.e. if the graph is a upward or downward open parabola then axis of symmetry is: y=k

and if the graph is a right or left open parabola then axis of symmetry is: x=h

where the vertex is: (h,k)

<u>Ques 3)</u>

The key features of a quadratic graph are:

1)   Vertex.

2)  Axis of symmetry.

3) x-intercept( also known as zeros)

4)  y-intercept.

5)  Focus

6)  Directrix.

7)  Latus Rectum.

You might be interested in
Beulah used 3/5 pounds of dough, 3/4 pound of sugar, &amp; 2/3 pounds of sprinkles to make donuts. How many pounds of donuts did
andre [41]

Number of pounds of dough used = 3/5 pounds.

Number of pounds of sugar used = 3/4 pounds

Number of pounds of sprinkles used = 2/3 pounds.

Total number of pounds of donuts = Number of pounds of dough used + Number of pounds of sugar used + Number of pounds of sprinkles used.

Plugging values.

Total number of pounds of donuts = 3/5 + 3/4 + 2/3.

We need to add all those fractions.

In order to add fracions, we need to find common denominator (lcd).

We have 5,4 and 3 in denominators.

Least common denominator(lcd) of 5, 4 and 3 is 60.

We need to make each denominator equals 60.

Multiplying first fracion by 12 in top and bottom, we get

3*12/5*12 = 36/60

Multiplying first fracion by 5 in top and bottom, we get

3*15/4*15 = 45/60

Multiplying first fracion by 20 in top and bottom, we get

2*20/3*20 = 40/60.

Therefore,

3/5 + 3/4 + 2/3 = 36/60 + 45/60 + 40/60

               =  121/60

Let us convert 121/60 into mixed fraction.

Dividing 121 by 60 we get quotient =2 and remainder =1.

So, the mixed fraction is 2 1/60.

Therefore, Beulah made total 2 1/60 pounds of donuts.

4 0
3 years ago
What is angle A equal? <br><br> Thanks :)
Alex Ar [27]
Angle A and angle B sums up to 180 (interior angles)

6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 162
x = 18

angle A = 6(18)-35 = 73 degrees
7 0
2 years ago
Read 2 more answers
Helppppp pleazeee!!!
Tomtit [17]
I believe the answer is Chord AB
3 0
2 years ago
Read 2 more answers
Identity the zero of the function y= x (x-4)(x+2)
yulyashka [42]

Answer:

- 2, 0 or 4


Step-by-step explanation:

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

x' = 0


x - 4 = 0

x" = 4


x + 2 = 0

x"' = - 2


I hope I helped you.

4 0
3 years ago
What is the value, after 7 years, of a 2014 Ford Mustang that originally costs $25,000.00 if it depreciates at a rate of 8% per
Sholpan [36]
The value would be $14,000.

The formula we use for this is

A = p(1+r)ˣ, where p is the initial value, r is the percent of depreciation (as a decimal number) and x is the number of years.  Note that since it is depreciation, r will be a negative number.

A = 25000(1-0.08)⁷ = 13946.17 ≈ 14000
4 0
3 years ago
Other questions:
  • Can a graph have both a positive and negative correlation?
    12·1 answer
  • 100 POINTS FOR THE ANSWER!<br> PLEASE HELP
    13·2 answers
  • How do you do this to get one pls I need help
    12·1 answer
  • Last summer ,at camp okey fun okey,the ratio of the number of boys campers to the girls campers was 8:7. If there were a total o
    9·1 answer
  • Choose the best explanation that describes in words what the numerical value of the slope tells you.
    9·1 answer
  • Marking brainliest <br><br> Pls help
    5·1 answer
  • Which vectors represent the reflection of the vector &lt;3, -7&gt; across the x-axis? A. [3/7} B. [-3/7] C. &lt;-3, 7&gt; D. &lt
    7·2 answers
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    14·2 answers
  • Using the picture solve for the answer
    12·1 answer
  • Help me for brainlist
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!