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

Answers

Answer 1

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 as give other possible answers; without the choices it's impossible to know which one they're seeking.

The Graph Of A Function Is A Parabola That Has A Minimum At The Point (-3,9). Which Equation Could Represent

Related Questions

Whats 8^6 ÷ 8 pls ty :D

Answers

Answer:

[tex] {8}^{6} \div 8 \\ = {8}^{6} \div {8}^{1} \\ = {8}^{(6 - 1)} \\ = {8}^{5} [/tex]

Answer:

[tex]8^{5}[/tex] or 32768

Step-by-step explanation:

When dividing exponents, you subtract the exponent on the top from the one on the bottom:

[tex]8^{6}[/tex]/[tex]8^{1}[/tex] = [tex]8^5[/tex]  because 6-1 = 5

Acellus
If P = (3,2), find the image
of P under the following rotation.
90° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box
Enter

Answers

Answer:

(-2, 3)

Step-by-step explanation:

Think of this in the future:

Counter-clockwise rotations:

90-degree --> (x,y) = (-y,x) ex. (3,2) --> (-2,3)

180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3, -2)

270 degree --> (x,y) = (y,-x) ex. (3,2) --> (2, -3)

Clockwise rotations:

90-degree --> (x,y) = (y, -x) ex. (3,2) --> (2, -3)

180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3,-2)

270-degree --> (x,y) = (-y, x) ex. (3,2) --> (-2,3)

Which numbers are written in scientific notation? Check all that apply.
0.87x10^8
15.489 x 10^6
O 10.1x 10^-12
07.08 x 10^6
1.2345 x 10^-1

Answers

Answer:

The last two

Step-by-step explanation:

Scientific notation:

a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8

A swimmer breaks a world record by 0.07 seconds. The old record was 49.51 seconds. What is the swimmer's new world record?
a. 49.58 seconds
b.49.44 seconds
c.48.81 seconds
d.48.58 seconds

Answers

Answer:

B

Step-by-step explanation:

Simply subtract 0.07 from 49.51 too get 49.44.

Hope that this helps!

HELP THIS IS DUE TODAY I WILL NAME YOU THE BRAILIEST!!!!!!!
Determine the equation of the circle graphed below.

Answers

Answer:

[tex](x-4)^2+(y+3)^2=20[/tex]

Step-by-step explanation:

The equation of a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex] is given by [tex](x-h)^2+(y-k)^2=r^2[/tex].

What we know:

Center at [tex](4,-3)[/tex]

To find the radius, we can use the distance formula. For points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

Let

[tex](x_1,y_1)\implies (-4, -3),\\(x_2,y_2)\implies (8,-1)[/tex]

[tex]r=\sqrt{(8-4)^2+(-1-(-3))^2},\\r=\sqrt{4^2+2^2},\\r=\sqrt{20}=2\sqrt{5}[/tex]

Thus, the equation of this circle is

[tex](x-4)^2+(y-(-3))^2=\sqrt{20}^2,\\\boxed{(x-4)^2+(y+3)^2=20}[/tex]

What is the estimated monthly expenses for a veterinarian?

Answers

Answer:

Roughly $50-$400

Step-by-step explanation:

Some expenses include:

- Vitamins

- Medication for fleas/heartworms

- Spaying/neutering

helppppp meeee, I need all three, I need an explanation tooo

Answers

Answer:

Step-by-step explanation:

for the first one: d

30. One of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air. The height of the ball is modeled by the equation h(t) = -16t2 + 39t. What is the real world or practical domain of this function?

Answers

This model will be by 16/8 I will do 8/8

Please help me with this math no weird answers

Answers

Answer:

4a 8v+3

4b 50y+63

5a 11v+8

5b 10y-82

6a 14p

6b 36y-5

7a -3z

7b 0

Answer:

4a.

7v+3-(-1)v

7v+3+v

8v+3

4b.

-7+10(5y+7)

-7+50y+70

50y+63

5a.

-3v+4v+8+10v

11v+8

5b.

10(y-9)+8

10y-90+8

10y-82

6a.

p+9p+p+p+p+p

14p

6.b.

4+9(-4y-1)

4-36y-9

-36y-5

7.a.

-5z+2z

-3z

7b.

-10y+10y

=0

Because the variable m does not appear in Ax + By = C, equations in this form make it impossible to determine the line's slope m. If the statement does not make sense, then how can you find m and what would it be? Show your work.

Answers

Answer:

Step-by-step explanation:

The statetement does not make sense because we can rewrite the equation of the line in the slope intercept form

1) add -Ax at both members

Ax + By - Ax = -Ax + C

By = -Ax + C

2) divide both members by B (assuming that its value is not 0)

y = (-A/B) x  + C/B

the slope of the line is the therm that multiply x, so

m = -A/B

Find the length of AB.
A
O 140°
8 m
B
Round your answer to the nearest hundredth.
ÁB = [ ? ]m

:)

Answers

Answer:

19.55m

Step-by-step explanation:

We solve the above question using the formula for Arc Length

The formula of Arc length when central angle is given in degrees = Length of AB

= θ/360 × 2πr

Central angle = θ = 140°

Radius = r = 8m

Hence,

Length AB = 140/360 × 2 × π × 8

= 19.547687622 m

Approximately to the nearest hundredth, the length of AB = 19.55m

Jason has 208 baseball cards. This is 52 less than the number of cards that Robert has.
Which equation below best represents this scenario?


A) R+ 208= 52

B) R- 52 = 208

C) 52 - R = 208

D) 208 - 52 = R

Answers

Answer:

B) R - 52 = 208

Step-by-step explanation:

Robert has 52 more cards than Jason, who has 208, so Robert has 208 + 52 cards. This can be turned into:

R = 208 + 52

then subtract 52 from both sides:

R - 52 = 208 + 52 - 52

R - 52 = 208

and that's the answer

PLEASE HELP MEEEE:((

Answers

Answer:

g(x)=[tex](3x)^{2}[/tex]

Step-by-step explanation:

In this graph g(x) will be equal to g(x)=[tex](3x)^{2}[/tex]. Multiplying a squared variable will close the parabola together, but multiplying the variable itself and then calculating the square will exponentially close the parabola. Without the parenthesis x would be substituted for 1, 1 squared is 1 and multiplied by 3 would be 3. Therefore, giving you a coordinate of (1,3). With parenthesis that would be 3 times greater which would give you a coordinate of (1,9) as can be seen in the graph attached below.

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct?

Answers

Answer:

Helena is correct.

Step-by-step explanation:

The slope intersept form of the line is

y = m x + c

where, m is the slope and c is the intersept.

The point slope form of the equation is

[tex]y - y'= \frac{y''-y'}{x''-x'}\times (x-x')[/tex]

So, if there are two points are given, the equation of line is found by the point slope form.

So, Helena is correct.

True or false question. In Standard form, the number 3.5 *10^4 is 3,500.

Answers

Answer: False

Step-by-step explanation:

10^4=10000. 10000*3,5=35000.

Answer:

No, you missed a zero.

Step-by-step explanation:

In the given case, as we have the number as  

3.5 × 10^4, we need to move decimal digit to the right by three points. For this, let us write 3.5 as 3.50000 and moving decimal point four points to right means  

35000.0

Hence in standard notation  

3.5 × 10^4=35,000

A 2 kg hammer is used to nail a 0.002 kg nail with a force of 10 N. How much force is applied to the hammer?

Answers

Answer:

19.62N

Step-by-step explanation:

Given data

Mass =2kg

Force =10N

The applied force is

F=mg

F=2*9.81

F=19.62N

Hence the applied force is 19.62N

El angulo de elevacion del sol es de 29°12'35''. Calcular la longitud de la sombra proyectada por un hombre de 1,75m de estatura.

Answers

Respuesta:

3,59 metros

Explicación paso a paso:

Conversión del ángulo de elevación a grados;

29 ° 12 '35 "

= 29 ° + 12 '/ 60 + 35 "/ 3600

= 29,20972 °

Resolviendo el triángulo de solución adjunto:

La longitud de la sombra se puede obtener utilizando la relación trigonométrica;

Sin θ = opuesto / hipoteno

Sin 29.20972 = 1.75 / sombra

Sombra = 1.75 / Sin 29.20972

Longitud de la sombra = 3,59 m

1.Which triangle are acute 2.Which triangles are obtuse 3.Which triangles are scalene 4.Which triangles are isosceles 5.Which triangles are equilateral? 6.Which are right triangles?

Answers

Answer:

1.C

2.D

3.all angles need to be different

4.A

5.E

6.B

Step-by-step explanation:

2(5x + 3) + 2 = 10x + 6
A-one solution
B-infinitely many solutions
c-no solution

Answers

Answer:

C

Step-by-step explanation:

Given

2(5x + 3) + 2 = 10x + 6 ← distribute and simplify left side

10x + 6 + 2 = 10x + 6

10x + 8 = 10x + 6 ( subtract 6 from both sides )

10x + 2 = 10x ( subtract 10x from both sides )

2 = 0 ← not possible

This indicates the equation has no solution

Answer:

no solutions

Step-by-step explanation:

2(5x + 3) + 2 = 10x + 6

* solve for x *

step 1 distribute the 2 to 5x and 3

2 * 5x = 10x

2*3=6

we now have 10x + 6 + 2 = 10x + 6

step 2 combine like terms

6 + 2 = 8

we now have 10x + 8 = 10x + 6

step 3 subtract 10x from each side

10x-10x=0

10x-10x=0

we're left with 8 = 6

8 is not equal to 6 meaning that there are no solutions to the equation

PLS HELP
A train arrives at a station every 2 hours. A bus arrives at the same station every 3 hours. A train and a bus arrive at 1 pm. When is the next time of day that a train and a bus will arrive together?

Answers

Answer:

7pm

Step-by-step explanation:

A train arrives every 2 hours and a bus every 3 so in 6 hours time a bus and a train will arrive together

Pls help with this someone i'm struggling with this!

Answers

Answer:

x=9

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical.

Answer:

x=9  

Step-by-step explanation:  

Because if you remove the radical by raising each side to the index of the radical you get x=9.

the following table shows the number of fire hydrants in each neighborhood overseen by District 9​

Answers

Answer:

where is the table

Step-by-step explanation:

Answer:

whare is the table?

Step-by-step explanation:

we cant answer if theres no table

can you please help? f(x)=x^2 what is g(x)?

Answers

Answer:

D

Step-by-step explanation:

g(x) will be -x^2-3. The minus in front of the x makes the graph flip upside down, and the "-3" indicates its position on the y-axis. Hope this helps!!

Answer: Choice D.  g(x) = -x^2-3

==============================================

Explanation:

Start with the curve y = x^2.

Reflect it over the horizontal x axis to get y = -x^2

Then shift everything down 3 units to arrive at g(x) = -x^2-3

You can use a tool like Desmos or GeoGebra or anything similar to help verify this.

Beth filled 72 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did beth use?

Answers

Answer:

9 gallons were used

Step-by-step explanation:

There are 8 pints to 1 gallon

72 jars holding 1 pint each means 72 pints total

72/8=9

Beth used 9 gallons

P.S. Can I get brainlist

Since there are 8 pints in a gallon, we would divide 72 by 8 because each jar represents one pint. After dividing we would get 9! Beth used 9 gallons

What is the area of the triangle shown below?​

Answers

Answer:

12

Step-by-step explanation:

Each half of the isosceles triangle is a right triangle with side lengths 3, 4, 5.

A = bh/2

A = 8 * 3/2

A = 12

Which of these answer choices can find the width


A. Width = (70 yd + 40 yd) /2

B. Width = (70 yd + 40 yd) /4

C. Width = (70 yd - 40 yd) /2

D.width = (70 yd - 40 yd) /4

Answers

Answer:

C

Step-by-step explanation:

2 (20)=40

70-40=30

30/2 = 15 actual width of both sides

P= 2l + 2w

B.width=70yd+40yd)/4

Please help find the volume by using 3.14 as pi

Answers

Answer:

P

v = 794.0275 in³

Q

v = 1,307.81 in³

Step-by-step explanation:

volume of cone

v = πr²h

----------------------------

cylinder P

v = 3.14 * (4.25²) * 14

v = 794.0275 in³

-----------------------------

cylinder Q

v = 3.14 * (7²) * 8.5

v = 1,307.81 in³

In a school the ratio of boys to girls is 3:2. What percentage of the students are girls?

Answers

25% percent of the students are girls

Find the simplified quotient
27 +51 +3
12-37-4
.
47 +27 -6
X-8x +16
о
1-4
21-2
O
1
27-2
O
X-4
y-

Answers

Answer:

y24 x66

Step-by-step explanation:

Yeah!! than vsj haha yeamKah

I got 7 but I’m confused

Answers

Answer:

27

Step-by-step explanation:

3v+6=5v-8

3v+14=5v

14=2v

v=7

3*7+6

21+6

27

u were right on 7 u just need to plug it into the equation

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