Answers
Answer:
Not a quadratic function.
Step-by-step explanation:
DefinitionsA function is a relation wherein each input or x-value corresponds exactly to an output or y-value. In other words, a relation is a function if there are no repeating x-values.
Vertical Line Test :A way to determine whether a given graph represents a function is to perform the Vertical Line Test. Using the Vertical Line Test, we must draw vertical lines across the graph. If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.
⇒ The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1. Hence, the given horizontal parabola is not a quadratic function.
Horizontal Parabola: Not a FunctionThe given graph represents a horizontal (or sideways) parabola.
The vertex form of the horizontal parabola is: x = a(y - k)² + h.
where:
a = Determines the direction of the graph's opening.
a > 0, the graph of the parabola opens to the right.a < 0, the graph of the horizontal parabola opens to the lefty = k is the horizontal axis of symmetry
k = determines the vertical translation of the graph
h = determines the horizontal translation of the graph
Equation of the Horizontal Parabola in Vertex Form:The vertex of the given graph occurs at the point of origin, (0, 0).
Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :
x = a(y - k)² + h
1 = a(1 - 0)² + 0
1 = a( 1 )²
1 = a
Equation of the given horizontal parabola in vertex form:
⇒ x = (y - 0)² + 0 or x = y²
It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.
This implies that each x-values on the graph have more than one corresponding y-values:x = 1 has two y-values: y = -1, and y = 1.
x = 4 has two y-values: y = -2, and y = 2.
Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.
Related Questions
Can someone pls help me
Answers
Answer:
6π Km
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{120}{360}[/tex]
= 2π × 9 × [tex]\frac{1}{3}[/tex]
= 18π × [tex]\frac{1}{3}[/tex]
= 6π Km ← exact value
What is a theme of the poem "Dream Variations" by Langston Hughes?
It is life's desire to live freely and expressively without boundaries.
People have the power within to make a fresh start in life.
One should spend less time living in the past and enjoy the present.
It is important to find balance between work and rest.
Answers
One theme of the poem Dream variations is the desire to live freely and expressively (option A).
In poems and other literary texts, themes are deep ideas about life that are indirectly expressed by the author. In the case of the poem "Dream variations", the author Langhtons Hughes refers to life and death.
About life, Hughes expresses the importance of living life at its fullest before death occurs. This desire to live freely and expressively is shown in verses such as:
"To fling my arms wideIn the face of the sun"
or in
"To whirl and to dance"
Learn more about poem in: https://brainly.com/question/9527212
Answer:
Step-by-step explanation:
I took the quiz :)
Josiah, Nathaniel and Walden work 7,5, and 3 days respectively on a particular job. If the payment for the job is $216.00, how much did Josiah receive?
$100.80
$72.00
$43.20
$23.20
Answers
Term insurance has no value as an investment and is the most expensive type of life insurance.
True
Or false
Answers
Answer:
False
Step-by-step explanation:
It is true that term insurance has no value as an investment. However, it is the least expensive type of life insurance. The compound statement is false, because one of the elements of the statement is false.
Answer:
false
Step-by-step explanation:
Carl placed $2,600 in a savings account that compounds interest annually at a rate of 0.5%. How much will he have in the account after 7 years
Answers
Answer:
$2,691
Step-by-step explanation:
Interest (I) = Principal x Rate x Time
Total Amount (A) = Interest + Principal
I = 2600(.005)(7)
I = 91
A = 2600 + 91
A = 2691
-6x+3y= -15 4x-3y= 13
Answers
Answer:
Equation form = x = 1, y = -3
Step-by-step explanation:
Point form = (1,-3)
What is 1/3 of 9/5 please help.
Answers
Please help me :)
ty ty
Answers
Answer:
the slope is stepper and the line is shifted up
Disney is hiring new employees. They currently employ 2,550 workers and want to hire
10 new workers per day. How many days will it take them to have employed 5,000
workers?
Answers
Answer:
I think it is 500
Step-by-step explanation:
5000 / 10 = 500
29. ERROR ANALYSIS Describe and correct the error in
rewriting the expression in rational exponent form.
Answers
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeee nose perdon xd
nvmmm jdkslkdijewkl,jdkr3tfrrrrrrrrredsw
Answers
hmmm, between the three options I would go with the second one since the number of 1-foot cubes equals exactly the volume of the fish tank.
But to truly calculate the volume
5 x 3 = 15
15 x 3 = 45
45 is the volume of the fish tank
if a necklace was on discount 10% and the original price was $20 what was the amount of discount?
Answers
Answer:
10$
Step-by-step explanation:
dollars hope it helps
Answer:
its 10$
Step-by-step explanation:
I think this is the last thing I need help with, but I REALLY need this done to raise my grade!!! I'll mark brainliest!!
Answers
Answer:
Step-by-step explanation: there you go
For 1-3 write an equivalent expression
1.) -3(7+5g)
2.) (x+7)+3y
3.) 2/9-1/5*x
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
The equivalent expressions are ~
Question : 1 [tex] \sf \: - 3(7 + 5g)[/tex][tex] \sf - 21 - 15g[/tex][tex] \sf- 15g - 21[/tex]Question : 2[tex] \sf \:( x + 7) + 3y[/tex][tex] \sf \: x + 7 + 3y[/tex][tex] \sf \: x + 3y + 7[/tex]Question : 3 [tex] \sf \dfrac{2}{9} - \dfrac{1}{5x} [/tex][tex] \sf \dfrac{10x - 9}{45x} [/tex]9 5×
10× - 945×
f(x)=3x-5, f(2r)
help or i might have to retake this class next semester AHHHH
Answers
Answer:
f(2r) 6r - 5
Step-by-step explanation:
Substitute x = 2r into f(x) , that is
f(2r) = 3(2r) - 5 = 6r - 5
Help help help math math
Answers
Step-by-step:
Plug the radius into the volume formula.
V= 3/4(pie)4^3
Simplify the 4^3.
V= 3/4(pie)(64)
Multiply 64 by pie (which in this case is represented by 3).
V= 3/4(192)
Find 3/4 of 192 by multiplying.
V= 144 cm^3
Elsa makes a poster that is 1.5 m tall. Greg makes a poster that is 96 cm tall. Who makes a taller poster?
Answers
Answer:
dont mind me just grinding for points
Step-by-step explanation:
solve similar triangles (advanced)
Answers
Step-by-step explanation:
since m<CBA = m<EDA = 90
, < A is a common angle
then : triangle EDA is similar to triangle CBA
then : 11/3+X = 2/3
33=6+2X
27=2X
X=13.5
Find the value of x.
Answers
Answer:
11
Step-by-step explanation:
Arc YZ and angle YXZ must add up to 180. You can review your notes, and you will probably find an identity that relates to this. But I will prove this using quadrilaterals, mainly, well, because I forgot what the identity was.
Lets call the center of the circle O. Angles XYO and XZO must be 90 degrees since they are tangent to the circle. These angles add up to 180, leaving the two remaining angles, who also must add up to 180. Therefore, the angle YOZ, and YXZ, must add up to 180. Note that angle YOZ is equal to arc YZ.
In our case, angle YOZ is 125 degrees given by the arc YZ, and the angle of YXZ is 6x-11. We can set up an equation like this:
YXZ+YOZ=180
6x-11+125=180
Simplify
6x+114=180
Solve
6x=66
x=11
Therefore, our value of x is 11 and the angle YXZ is 55 degrees.
1. Find the surface area of the pyramid to the nearest whole number.
12 m
6 m
Answers
step by step explanation below:
What’s the difference between an event and in event handler
Answers
Answer:
There’s a subtle, but important difference between these 2 methods of handling events. If you’ll use the first method, event handlers, the difference is that if you add two event handlers for the same button click, the second event handler will overwrite the first and only that event will trigger
Step-by-step explanation:
i hope this answer your questions
Calculate the measure of angle ADB if angle ACB is 50 degrees.
Answers
Answer:
ADB=50°
Step-by-step explanation:
Angles subtended by the same segment are equal
Therefore,the angle ∠[tex]ADB=40[/tex] degree.
What are the angles?
An angle is a form of geometrical shape, that is constructed by joining two rays to each other at their end-points.
Here given that ∠[tex]ACB=50[/tex] degree and we know alternates angles are equal so ∠[tex]CAD=50[/tex] degree.
And [tex]AD[/tex] is parallel to [tex]BC[/tex].
Therefore, the diagonals of a rhombus are at right angled.
So, ∠[tex]AOD=90[/tex] degree
Now, In Δ[tex]AOD[/tex],
∠[tex]ADO+[/tex]∠[tex]DAO+[/tex]∠[tex]AOD=180[/tex] degree
∠[tex]ADO+50+90=180[/tex]
∠[tex]ADO=+140=180[/tex]
∠[tex]ADO=180-140[/tex]
∠[tex]ADO=40[/tex] degree
or
∠[tex]ADB=40[/tex] degree.
Hence, the angle ∠[tex]ADB=40[/tex] degree.
To know more about the angles
https://brainly.com/question/15277238
#SPJ2
The difference between three times a number and seven is twenty. What is the number?
20
7
13
3
O9
O 27
Answers
Answer:
the number is 9
Step-by-step explanation:
hope this helps
Find the surface area of a sphere with a diameter of 10 centimeters.
a. 1,256.6 cm3
b. 104.7 cm3
c. 314.2 cm3
d. 209 cm3
Answers
20 POINTS! Will give brainliest to correct answer! Please help. I would also really appreciate an explanation for the answer so that I can do it on my own next time.
Answers
Answer:10/9 if I am wrong I am sorry
Step-by-step explanation:
Answer:
[tex]\frac{100}{9}[/tex]
Step-by-step explanation:
The mass of Earth is 5.97x10^24 kg and the mass of Moon in 7.35x10^22 kg. What is the total mass? Thank you in advance
Answers
Answer:
Total mass = 5.97 × 1024 kg + 7.35 × 1022 kg. = 604.35 × 1022 kg.
Step-by-step explanation:
What is the measure of 2C?
30
30
А
30
O A. 60°
O B. 90°
O C. Cannot be determined
D. 30°
Answers
Answer:
60
Step-by-step explanation:
All sides are equal, so all angles are equal.
All angles equal 60 because 180 ÷ 3 = 60
I hope this helps!!
help pls the image below represents ____
Answers
Answer:
I think it's a Box Plot, hope this helps
solve each equation by factoring 12p^2+78p-151= -7
Answers
Answer:
Ok so im not to sure but I think its 40.62 but i could be wrong since it was worded odd
Step-by-step explanation
Given 4 < x < 9 and 5 - y< 4 , where x and y are integers. Find the maximum value of x-y.
Answers
Answer:
You want to maximize x and minimize y
Maximum y = 8
Minimum y = 10
8-10= -2