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
shusha [124]
3 years ago
15

The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?

Mathematics
1 answer:
Masteriza [31]3 years ago
5 0

Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.

A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.  

The general form with vertex (p,q) is

y = a(x-p)² + q

So for us, all our parabolas are of the form

y = a(x- -3)² + 9

y = a(x² + 6x + 9) + 9

y = ax² + 6ax + 9(a+1)

That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.

Some instances:

a=1 gives

Answer: y = x²+6x+18

a=4 gives

y = 4x² + 24x + 45

Other positive <em>a</em>s give other possible answers; without the choices it's impossible to know which one they're seeking.

You might be interested in
Which equation shows a proportional relationship between x and y?
Ad libitum [116K]

Answer:

D. y=4x

Step-by-step explanation:

It asks for a proportional relationship between x and y

And is the only answer

because

When x and y is 1 the answer is

4/1

And when x and y is 2 the answer is

8/2

If you divide both of them are still 4

And this will always be the result no matter how many times you do it

like if you put it as 150

150 times 4 is 600/150

600 divided by 150 is 4

Hope this helps!

6 0
2 years ago
Type the correct answer in the box.
Akimi4 [234]

Answer:

\huge\boxed{-8+8i}

Step-by-step explanation:

2(-36-3i)+(5+2i)(12-2i)\\\\\text{use the distributive property and FOIL}\\\\=(2)(-36)+(2)(-3i)+(5)(12)+(5)(-2i)+(2i)(12)+(2i)(-2i)\\\\=-72-6i+60-10i+24i-4i^2\\\\i=\sqrt{-1}\to i^2=-1\\\\=-72-6i+60-10i+24i-4(-1)=-72-6i+60-10i+24i+4\\\\=(-72+60+4)+(-6-10+24)=-8+8i

7 0
3 years ago
What is the degree of vertex B and G?
Marat540 [252]

Answer:

degree of vertex B = 2

degree of vertex g = 4

Step-by-step explanation:

Using given picture we need to find about what is the degree of vertex B and G.

In graph theory, we know that the degree (or valency) of a vertex of a graph is the number of edges incident to the vertex.

So we just need to count how many edges are incindent on vertex B and G.

From picture we see that number of edges incident on vertex B = 2

Hence degree of vertex B = 2

From picture we see that number of edges incident on vertex G = 4

Hence degree of vertex g = 4

6 0
3 years ago
Solve for (4x+6)+(-x+2) please i need help
postnew [5]

Answer:

3x - 8

Step-by-step explanation:

Step 1:

( 4x + 6 ) + ( - x + 2 )

Step 2:

4x - 6 + - x - 2

Step 3:

3x - 6 - 2

Answer:

3x - 8

Hope This Helps :)

8 0
3 years ago
Read 2 more answers
What is the area of the trapezoid that is not drawn to scale??
netineya [11]
I think the answer would be 38in^2

Because the equation is : (a+b) *h / 2
A and b are both the bases of the trapezium

So (11 + 8) these are the bases and the height is 4 so you would do
(11+8)*4 / 2
(19)*4 / 2
76 / 2
= 38
3 0
3 years ago
Read 2 more answers
Other questions:
  • What are the zeros of the function f(x) = 2 + 8x + 4, expressed in simplest radical form?
    7·1 answer
  • Which answer is the solution set to the given inequality |x+7| &lt; 17
    15·2 answers
  • Perry sells TVs at an electronics store. He makes a 15% commission for every TV he sells. How much would he have to sell a singl
    8·1 answer
  • Evaluate 2d+3 when d=8
    10·2 answers
  • What is 6 + (-3) + 12 = ?
    5·2 answers
  • Perform the indicated opera<br> 6) g(n)= n2 - 1<br> h(n)= 4n+1<br> Find (g. h)n)
    12·1 answer
  • Diego’s dog weighs more than 8 kilograms and less than 12 kilograms. Select all the inequalities that MUST be true if w is the w
    14·1 answer
  • Is it A, B, C, or D?
    7·1 answer
  • What is the equation of this trend line?<br><br> Enter your answers by filling in the boxes.
    7·1 answer
  • What is the area of the parallelogram?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!