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
julia-pushkina [17]
2 years ago
11

Which function has a vertex at the origin? Help

Mathematics
2 answers:
I am Lyosha [343]2 years ago
8 0

Answer:

f(x)=-x^2

Step-by-step explanation:

<u>Vertex form of a quadratic function</u>:

  y=a(x-h)^2+k  

where:

  • (h, k) is the vertex
  • a is some constant
    If a > 0, the parabola opens upwards
    If a < 0, the parabola opens downwards

If the <u>vertex</u> is at the origin:

  • h = 0
  • k = 0

<u>Substituting</u> the vertex into the equation:

\implies y=a(x-0)^2+0

\implies y= ax^2

<u>Comparing</u> with the available answer options:

f(x)=-x^2  has its vertex at the origin.

<u>Additional Information</u>:

\textsf{The vertex of }\:f(x)=(x+4)^2 \: \textsf{ is }\:(-4,0)

\textsf{The vertex of }\:f(x)=x(x-4) \: \textsf{ is }\:(2,-4)

\textsf{The vertex of }\:f(x)=(x-4)(x+4) \: \textsf{ is }\:(0,-16)

Learn more about vertex form here:

brainly.com/question/27796555

kari74 [83]2 years ago
5 0

Answer:

Option D

Step-by-step explanation:

  • y=-x²

This function has vertex at origin

Let's verify

Put (0,0)

  • 0=-(0)²
  • 0=-0
  • 0=0

Hence verified

You might be interested in
The length of the hypotenuse of 30 -60 -90 triangle is 4 find the longer leg
11Alexandr11 [23.1K]
The longer leg is the leg adjacent to the larger angle

so 60 

length of longer leg = 4 sin60 = 2sqrt(3) 

8 0
3 years ago
Read 2 more answers
Write an equation of the line and interpret the slope.​
coldgirl [10]

Answer:

y=-100x+700

Step-by-step explanation:

Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100

So your slope would be m=-100

To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:

y=mx+b (Slope-intercept form)

y=-100x+b (Equation so far)

200=-100(5)+b [Plugging in (5,200)]

200=-500+b

700=b

So since the y-intercept is b=700, then the equation of the line is y=-100x+700

4 0
3 years ago
2. If ¡2x+3 = i, where i = V-1, then which of the
Alexus [3.1K]

I assume you mean the equation

i^{2x+3} = i

Since i = √(-1), we have i⁴ = 1 and so i⁵ = i. Then 2x + 3 must be some multiple of 5.

Now just check for which of the given choices that this holds:

x = 16   ⇒   2x + 3 = 35   (yes)

x = 11   ⇒   2x + 3 = 25   (yes)

x = 10   ⇒   2x + 3 = 23   (no)

x = 14   ⇒   2x + 3 = 31   (no)

6 0
2 years ago
Please help me out with this question thank you ❤️
devlian [24]

Answer:

log

2

8

=

3

→

8

=

2

3

Step-by-step explanation:

7 0
3 years ago
The temperature at 7 AM was one Fahrenheit the temperature drops 3° every hour for four hours what temperature at 11 AM
castortr0y [4]

Answer:

-11

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • race drivers must complete 200 laps in the Daytona 500. If Ricky Bobby only completed 57% of the race, how many laps did he comp
    11·2 answers
  • The figures shown are similar
    6·2 answers
  • 13. If x + y + z-0 then x+y+z'is equal to:<br>(a) 3xyz<br>(b) - 3xyz<br>(c) xy<br>(d)-2xy​
    6·1 answer
  • What percent is 50 of 75
    12·1 answer
  • (5 x 6 x 3 = 3 x( 2 x 3) <br> 10 x 3 = 5 x <br> =
    6·1 answer
  • In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the numb
    13·1 answer
  • What function has the Sam y-intercept as the function
    12·1 answer
  • Please help!! im very confused
    10·2 answers
  • Michelle would like to know how much of her loan payments will go toward interest. She has a $124,500 loan with a 5.9% interest
    15·1 answer
  • What is the perimeter of polygon ABCD?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!