Mathematics High School

What is the quadratic function for this graph?

Answers

Answer 1

Answer:

f(x) = (x + 3)² + 2

Step-by-step explanation:

Vertex for of a quadratic function is given by,

f(x) = a(x - h)² + k

Here, (h, k) is the vertex of the parabola.

From the given picture,

(-3, 2) is the vertex of the graph.

Therefore, function will be,

f(x) = a(x + 3)²+ 2

Since, the graph of the function passes through (0, 11),

f(0) = a(0 + 3)²+ 2

11 = 9a + 2

9a = 9

a = 1

Equation of the function,

f(x) = (x + 3)² + 2

Related Questions

D
(3x +94)
Kx + 18)
(2x - 4)
B
A
O
The diagram is not drawn to scale.
O
x = 1
-。
Please help ASAP

Answers

Answer:

i cant answer this one, its waaaay too confusing for me

Step-by-step explanation:

which could be the value of x in the triangle below

Answers

Answer:

C, D

Step-by-step explanation:

In a triangle, the length of any side must be least than the sum of the lengths of the other 2 sides.

That means

3x < 19 + 6

3x < 25

x < 25/3

x < 8 1/3

Answer: C, D

plz help me my teacher is gonna come in 5 minutes and if she finds me on this imma get suspended

Answers

Answer:

Step-by-step explanation:

42 i think

maybe 5

.....................

Ellie invested $13,000 in an account paying an interest rate of 8.25% compounded
continuously. Daniel invested $13,000 in an account paying an interest rate of 8.5%
compounded daily. After 18 years, how much more money would Daniel have in his
account than Ellie, to the nearest dollar?

Answers

Answer:

Rate 1: 8

%=8+1/4=

8.25

→

0.0825

8.25%→0.0825

Rate 2:

Rate 2: 8

%=8+1/2=

8.5

→

0.085

8.5%→0.085

Calculate Final Amount for Ellie

‾

Calculate Final Amount for Ellie

Compounded Continuously:

A=Pe

13000

0.0825

P=13000r=0.0825t=18

Given values

13000

0.0825

(

)

A=13000e

0.0825(18)

Plug in

13000

1.485

A=13000e

1.485

Multiply

57394.5504

A=57394.5504

Use calculator (with e button)

Calculate Final Amount for Daniel

‾

Calculate Final Amount for Daniel

Compounded Daily:

(

)

A=P(1+

)

Compound interest formula

13000

0.085

365

P=13000r=0.085t=18n=365

Given values

13000

(

0.085

365

)

365

(

)

A=13000(1+

365

0.085

)

365(18)

Plug in values

13000

(

1.0002329

)

6570

A=13000(1.0002329)

6570

Simplify

60025.6058

A=60025.6058

Use calculator

How much more money Daniel has:

60025.6058

Rate 1: 8

%=8+1/4=

8.25

→

0.0825

8.25%→0.0825

Rate 2:

Rate 2: 8

%=8+1/2=

8.5

→

0.085

8.5%→0.085

Calculate Final Amount for Ellie

‾

Calculate Final Amount for Ellie

Compounded Continuously:

A=Pe

13000

0.0825

P=13000r=0.0825t=18

Given values

13000

0.0825

(

)

A=13000e

0.0825(18)

Plug in

13000

1.485

A=13000e

1.485

Multiply

57394.5504

A=57394.5504

Use calculator (with e button)

Calculate Final Amount for Daniel

‾

Calculate Final Amount for Daniel

Compounded Daily:

(

)

A=P(1+

)

Compound interest formula

13000

0.085

365

P=13000r=0.085t=18n=365

Given values

13000

(

0.085

365

)

365

(

)

A=13000(1+

365

0.085

)

365(18)

Plug in values

13000

(

1.0002329

)

6570

A=13000(1.0002329)

6570

Simplify

60025.6058

A=60025.6058

Use calculator

How much more money Daniel has:

60025.6058

−

57394.5504

60025.6058−57394.5504

2631.0554

2631

$2631

Round to the nearest dollar−

57394.5504

60025.6058−57394.5504

2631.0554

2631

$2631

Round to the nearest dollar

Step-by-step explanation:

PLEASE HELP IM TERRIBLE AT PERCENTAGES!!!

Answers

Answer:

sory bro i saw this question but i dont know answer

24%
Add all values together, since your finding percentage of pink flowers you’ll do 20/82 which will get you the decimal 0.24 which is 24%

How can I solve "Ella is building a rabbit pen. The area of the rabbit pen is 50 square feet.
Each rabbit needs at least 4 square feet of space. How many rabbits can
the pen hold?"

Answers

I think

50/4= 12.5 rabbit pens

Hope it might helps you!

Answer:

12.5 rabbits

Step-by-step explanation:

So I guess I would say 12

(fog)(2) if f(x) = 3x + 1 and g(x) = x ^ 2 + 2

Answers

Answer:

(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

WILL GIVE BRAINLY!!!

Find the value of x. Round to the
nearest tenth.
9
4
O
X= | ?

Answers

tan = opposite / adjacent

tan x = 4/9

x = tan^-1 (4/9)

x = 23.9624....

x = 24.0

Answer:

66.03 so 70

Step-by-step explanation:

since hypotunees has no value it cancels.

aso it leaves with an adjacent and oppisite

using trig function you will get

tan(x)=(9/4)

inverse tan to get x on its own

(x)=tan^-1(9/4)

put that on the calculater and you will get the angle

therefore

(x)=66.04 round it the nearest ten which is

I need help fast!!!!

Answers

Answer:

Step-by-step explanation:

Please help lol ....

Answers

So basically isolate the X

4x>32
Divide both sides by 4

X> 8
unshaded dot on 8, pointing to the left

A construction company is preparing 10 acres of land for a
new housing community. The land contains large rocks that
need to be removed. A machine removes 15 rocks from 360
square feet of land.
1 acre = 43,560 square feet
About how many rocks will need to be removed from the 10
acres of land?

Answers

Answer:

Step-by-step explanation:

43560/360 = 121

131x15 = 1815 rocks per acre

1815 x 10 acres = 18150 rocks

A basketball game is 45 minutes long. 20 minutes have already been played. write an equation that represents how many minutes m are remaining. DO NOT SOLVE

Answers

45 - 20 = mOR m = 45 - 20Hope that helps!

Answer:

45-20 = 25

Step-by-step explanation:

4x-9=2x+5..solve for X..Help?

Answers

Answer:

x = 7

Step-by-step explanation:

4x - 9 = 2x +5 add 9 from both sides

4x = 2x +14 subtract 2x from both sides

2x = 14. divide both sides by 2

x = 7

Answer:

x = 7

Step-by-step explanation:

Rewrite equation

4x - 9 = 2x + 5

Add 9 on both sides

4x -9 +9 = 2x + 5 + 9

Simplify

4x = 2x + 14

Subtract 2x on both sides

4x - 2x = 2x + 14 - 2x

2x = 14

Finally divide both sides by 2

2x/2 = 14/2

x = 7

Hope this helps :)

-2x/3 + 11 = 14 please help me its not letting me put stuff I want

Answers

Answer:

x = -4 1/2

Step-by-step explanation:

-2x/3 + 11 = 14

subtract 11 from each side of the equation:

-2x/3 = 3

multiply both sides by 3:

-2x = 9

divide both sides by -2:

x = -4 1/2

Expand the following. In other words, remove the parentheses (brackets):
7x(3y - 4x + 2)
A 21xy - 28x2 + 14
B 21xy - 282 + 14
C21xy - 28x2 + 14x
D 21xy + 28xz + 14x

Answers

The answer is C because it is what you get when you distribute correctly.

Juan plans to mix blue paint and red paint to create purple paint. The ratio of the number of gallons of blue paint to the
number of gallons of red paint is 1 : 3.
Part A
Complete the table to show how many gallons of red paint Juan needs for the given number of gallons of blue paint.
Number of Gallons of Blue Paint
Number of Gallons of Red Paint
1
2
3
4
5

Answers

Answer:

Step-by-step explanation:

Plz help fast will mark the brainiest!!!

Answers

4.75 x 10^-5 is the answer in scientific notation!

Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing vertex? ( , ) b. Find the area and perimeter of the rectangle. Area = square units Perimeter = units

Answers

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2) C ______ D(?)

B: (7, 2) | |

C: (4, 8) A |______| B

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

[tex] B_{x} - A_{x} = 7 - 4 = 3 [/tex]

Hence, the distance of point D from point C in the x-direction is:

[tex] D_{x} = C_{x} + 3 = 4 + 3 = 7 [/tex]

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

[tex] C_{y} - A_{y} = 8 - 2 = 6 [/tex]

Then, the distance of point D from point B in the y-direction is:

[tex] D_{y} = B_{y} + 6 = 2 + 6 = 8 [/tex]

Therefore, the coordinates of the missing vertex (point D) are:

[tex] D = (D_{x}, D_{y}) = (7, 8) [/tex]

b) The area of the rectangle is:

[tex] a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2} [/tex]

The perimeter is given by:

[tex] p = 2*(3 + 6) = 18 units [/tex]

I hope it helps you!

if h hours and 20 minutes is equal to 380 minutes. What is h?

Answers

Answer:

3 hours

Step-by-step explanation:

Answer:

h = 6

Step-by-step explanation:

60*6 = 360

360+20 = 380 BD

idiixixixjdjdodjdjdijxdjdjj

Answers

Answer: 41

Step-by-step explanation:

You need to subtract the 82 by the 41 so 82-41 then you would find the missing part. Or you could add 4 to the 4 to make 8 and then add the 1 to the 1 to get 2

Can you answer these 2 questions??

Answers

answer: no
explanation: don’t feel like it.

Someone help me with this question

Answers

the answer is 7 because thats what photo math told me

Answer:

Step-by-step explanation:

(8+56)÷4-3^2

PEMDAS:

(64)÷4-3^2

PEMDAS:

(64)÷4-9

PEMDAS:

(16)-9

hope this helps

Find thw product of (x+3)(x-3)(x+7)

Answers

Answer:

x^3+7x^2−9x−63

Step-by-step explanation:

can i please have brainliest

Please help me, this is driving me crazy

Answers

Answer:

oops

Step-by-step explanation:

Walid is four times as old as Sami . Five years ago,
Walid was 7 times old as Sami . How old is Walid and how old is Sami ?

Answers

Answer:

he is11 years old cause when he was 1 walked was 5

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

What do u need help with

Step-by-step explanation:

AA, SAS, SSS or not similar ? help pls

Answers

I think SAS .,................

In ΔCDE, the measure of ∠E=90°, the measure of ∠C=75°, and CD = 5.8 feet. Find the length of EC to the nearest tenth of a foot.

Answers

Answer:

1.5

Step-by-step explanation:

Help please it’s algebra 2

Answers

Answer:

Please refer to the attachment

It's easy 5th-grade math please solve the whole problem (the whole backside is the problem u can look I will mark the brainiest...

Answers

Answer:

which question is it? and please take the picture from the top.

Step-by-step explanation:

And Also will answer in the replies.

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