Guided Practice


Write the equation of the parabola in vertex form. The vertex is (−3, 3) and the parabola passes through the point (4, 150). Create a rough sketch of the graph to use as a visual aid.


A.
y = 3(x + 3)^2 + 3


B.
y = 4(x − 3)^2 + 3


C.
y = 50(x + 3)^2 + 4


D.
y = 3(x − 3)^2 + 3

Answers

Answer 1

Answer:

A.

y = 3(x + 3)^2 + 3

Step-by-step explanation:

The vertex form of the equation is y=a(x-h)2 + k  

You know that the vertex (h,k)  is (-3,3) and a point on the parabola is (4,150). So what you’re needed ing to find is a bc all of the other letters can be replaced into the equation.  

First I would put the equation into vertex form using the vertex given in the problem. : y= (x - (-3))2 + (3). Then I would use the ordered pair (4,150) and replace the x and y with those values

150 = a(4 + 3)2 + 3  

Now simplify

150 = a (7)2 + 3  

150 = 49a + 3      Important: please be sure to square.

147 = 49a

3= a  

Next replace a into the formula now leaving x and y alone.

y = 3 (x+3)2 + 3   [Vertex form]

I hope this helps. Have a great day!

Answer 2

Answer:

A.  [tex]y = 3(x + 3)^2 +3[/tex]

Step-by-step explanation:

The vertex form is:

[tex]y = a(x - h)^2 + k[/tex]

Where [tex]a[/tex] is the variable that determinate if the parabola is facing up or facing down and [tex]h[/tex] is the [tex]x[/tex] coordinate of the vertex and [tex]k[/tex] is the [tex]y[/tex] coordinate of the vertex.

So with the given values we have:

[tex]150 = a(4 + 3)^2 + 3[/tex]

Then isolate [tex]a[/tex] for find the missing value.

[tex]147 = a49\\\frac{147}{49} = a\\3 = a[/tex]

Then the final answer is [tex]y = 3(x + 3)^2 +3[/tex]


Related Questions

1
−5

can be simplified to what value?

Answers

Answer:

1/5 is already in it's simplest form, but you can also write it was 0.2

Need help with this ASAP I’ll mark brainliest

Answers

Answer:

A' (9, - 1 )

Step-by-step explanation:

Using the translation rule

(x, y ) → (x + 6, y - 3 ) , then

A (3, 2 ) → A' (3 + 6, 2 - 3 ) → A' (9, - 1 )

PLZ HELPPPPPPPPP MY SWAGGERS​

Answers

Answer:

9

Hope this helps, have a nice day/night! :D

Conner has $3 more than chi and $2 more than Cher Jan has &1 less than Cher together they have $28 how much does Conner have

Answers

Answer:

$32

Step-by-step explanation:

he got $32
Step-
By-Step

Solve for X and find M Find m

Answers

Step-by-step explanation:

3x-28=2x-9

3x-2x=28-9

x=19°

For angle FGH = 2x-9° = 38°-9° = 29°.

For angle HGI = 3x-28° = 57°-28° = 29°.

For angle FGI = 29°+29° = 58°.

hope this helps you.

please help me asap

Answers

It is linear. I hope that helps!


can i get brainliest? i need one more to move up to Ace

I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS (TRUTHFULLY) !!NO LINKS!!

Answers

Step-by-step explanation:

SAS ================

What it says:

If two sides and the angle between them on one triangle are congruent to the corresponding two sides and the angle between them on the other, the triangles are congruent.

Required information:

Two sets of congruent sides with a congruent angle between them

ASA ================

What it says:

If one side and both connected angles on one triangle are congruent to one side and both connected angles on the other, the triangles are congruent.

Required information:

One set of congruent sides with two sets of congruent angles on the sides

AAS ==================

What it says:

If two angles and the non-included side on one triangle are congruent to two angles and the non-included side on the other, the triangles are congruent.

Required information:

Two sets of congruent angles and one set of congruent non-included sides

HL =================

What it says:

If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg on the other, the triangles are congruent.

Required information:

Congruent hypotenuse and congruent leg

what slope is parallel to m = 3/4

Answers

Answer:

3/4

Step-by-step explanation:

For lines to be parallel, only their y-intercepts have to be different.

Answer:

3/4

Step-by-step explanation:

Brenna found 10% of 60. Her work is shown below.
10% of 60 = (60 = 2) = 30
O No. Brenna should have divided by 4 to find 10%.
No. She should have divided by 10 to find 10%.
O No. She should have multiplied by 10 to find 10%.
O Yes. Brenna did not make an error.

Answers

Answer: She should have divided by 10 to find 10% of 60 because percent in latin means per centum which means for 100 or per each 100 and dividing by 10 means that the result times 10 equals the original number, so you would need to divide by 10.

Step-by-step explanation:

An Uber ride costs a flat rate to start the ride and then charges an additional amount per mile. By the 3rd mile, the total cost of the trip is $9. By the 7th mile, the total cost is $17. What is the flat rate that Uber charges and how much does it cost per mile?

Answers

Step-by-step explanation:

the function is

ride cost c = mile rate r × miles m + flat rate f

c = r×m + f

now let's put the values in we know and solve for r and f :

9 = r×3 + f

17 = r×7 + f

now, since one term is the same in both equations, we use a simple trick for speed, and we subtract the whole first equation from the second :

17 = r×7 + f

- 9 = r×3 + f

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

8 = r×4 + 0

r = 8/4 = $2

9 = 2×3 + f = 6 + f

f = $3

the first rate is $3, and it costs $2 per mile.

The nth term of a sequence is n^2 + 5.

Find the first three terms and show that 261 is a term in this sequence.

Answers

Answer:

first 3 terms: 6, 9, 14

16^2+5=261

Step-by-step explanation:

1^2+5= 6

2^2+5= 9

3^2+5= 14

In a population of 128 people, 45 have curly hair, 66 have straight hair, and 17 have no hair. What is the probability of randomly choosing someone with curly hair or no hair?

Answers

It would be 62/128 or if you want it reduced it would be 31/64. Hope this helps ;)

You want to buy some noodles. A 6-ounce package costs $1.92. A 14-ounce package costs $4.62
A 20-ounce package costs $6.20. Which package is the best buy?



Answers

Answer:

The 20 ounce is the best package to buy.

Step-by-step explanation:

Divide the cost of the noodles by the ounces and you'll get your answers and then you have to pick the one with the least cost per noodles.

The 6 ounce costs .32 each

The 14 ounce costs .33 each

And the 20 ounce costs .31 each

Solve with elimination please

Answers

Answer:

x = 6

Step-by-step explanation:

6x - 3y = -21 => 6x = 3y - 21

4x = 3y - 9 => 4x = 3y - 9

-2x =  -12

-2x/-2 = -12/-2

x = 6

Hope this works

simple question just to lazy to really think about it!
Jose runs 6 miles in 44 minutes. At the same rate, how many minutes would he take to run 9 miles?​

Answers

Answer:

66 minutes

Step-by-step explanation:

Step 1: Divide 44 minutes divided by 6 miles.

[tex]\frac{44}{6}[/tex] [tex]\frac{22}{3}[/tex] [tex]7\frac{1}{3}[/tex]  

Step 2: Multiply 9 by 7 1/3.

[tex]9*7\frac{1}{3}[/tex] [tex]9*\frac{22}{3}[/tex] [tex]3*22[/tex] [tex]66[/tex]

Therefore, the answer is 66 minutes.

Which of the following could be the areas of
the three squares below?
A. 12 f12, 16 f12 and 28 f12
B. 8912, 16 pt2 and 24 P12
C. Both A and B
D. Neither A nor B

Answers

Answer:

A. 12 f12, 16 f12 and 28 f12

Step-by-step explanation:

The Pythagoras theorem states the addition of squares of the lengths of the two short sides of the right triangle is the same as the square of the length of the hypotenuse. Using the Pythagoras theorem, you may find the correct answer option A

Learn more: https://brainly.com/question/19528577

A store has 120 customers in 6 hours. what is the unit rate in cumstomers per hour?​

Answers

So to figure this out we are looking for the amount of customers in the store each our, so we simply divide 120 by 6 and get 20 as our answer.

A box of baseballs costs $66. 12. Which equation represents the cost, c, of n boxes?

Answers

Answer:

C

Step-by-step explanation:

cost=price of one box (number of boxes)

:))

10. Triangle JKL is shown. Based on the information in the diagram, what is the measure of ZJKL? (G6D)

Answers

Answer:

Angle K = 70degrees

Angle L = 68degrees

Step-by-step explanation:

Angle in a triangle add up to 180degrees

Figure out triangle the small triangle to the left side of the paper.

42+68+x=180

110+x=180

X=70

Angle K = 70degrees

Knowing that figure for angle L

70+42+x=180

112+x=180

X=68

Angle L = 68degrees

if f(x)=1/x+2 what is f(3+h)?

Answers

If x is the only thing in the denominator, then,

[tex]f(x) = \frac{1}{x}+2\\\\f(3+h) = \frac{1}{3+h}+2\\\\f(3+h) = \frac{1}{3+h}+2\left(\frac{3+h}{3+h}\right)\\\\f(3+h) = \frac{1+2(3+h)}{3+h}\\\\f(3+h) = \frac{1+6+2h}{3+h}\\\\f(3+h) = \frac{7+2h}{3+h}\\\\[/tex]

We replace every copy of x with 3+h, as shown in the second step. Afterwards, we can optionally simplify to form one big fraction.

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

Or if the "x+2" is in the denominator, then we have these steps:

[tex]f(x) = \frac{1}{x+2}\\\\f(3+h) = \frac{1}{3+h+2}\\\\f(3+h) = \frac{1}{h+5}\\\\[/tex]

What is the equation, in standard form, of a parabola that models the values in the table?
PLS HELP!!!

Answers

right answer is b

b. y= -3.5x^2-0.5x+4.5

witch points has have a distance of 3 units from point S

Answers

The answer is 3-2 +7 =9

Suppose that the functions u and w are defined as follows.
u(x)=-x-1
w(x) = 2x+1
Find the following.

Answers

Step-by-step explanation:

I answered this already.

how many hours will it take me to get 777,777,777 cookies if i get 266,560 cookies per second

Answers

Answer:

approximately 43 - 44 minutes exact

Answer:

It would take you 2917 hours.

Step-by-step explanation:

Do 777,777,777 divided by 266,560.

2917 (with a a lot of other numbers).

I hope this helped at all.

-2(x-2) - 4x = 3 (x + 1) - 9x

Answers

Answer:

No solution :(

Step-by-step explanation:

-2(x-2)-4x=3(x+1)-9x  love these problems.

-2x+4-4x=3x+3-9x<-- I first multiplied the number outside of the parentheses to the numbers inside. Keep in mind that when a negative time a negative, it equals a positive, in the case of -2*-2.

-6x+4=-6x+3<-- I then combined like terms.

Right away I see that -6 and -6 would cancel out if i just added it to the other side. Thus this equation has no solution.. sorry.

Evaluate the formula t=
x−μ
s
n when μ=117​, n=28​, x=113​, and

Answers

Answer:   -1.924

Work Shown:

[tex]t = \frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}\\\\t = \frac{113-117}{\frac{11}{\sqrt{28}}}\\\\t \approx \frac{-4}{\frac{11}{5.291503}}\\\\t \approx \frac{-4}{2.078804}\\\\t \approx -1.924183\\\\t \approx -1.924\\\\[/tex]

In the intermediate steps, I rounded to 6 decimal places. The final answer is rounded to 3 decimal places (to the nearest thousandth).

Guys I need help can you make like 5 roasts about a girl named Emma Blakey and Sebastian. Let’s see if you could do that..

Answers

Emma your face is always so blank, Like Give us an expression! And your nose so flat Like you've been hit with a pan Just like your chest. Sebastion Must be blind if he has a thing for You, I mean look at your flat lookin self you he must be built reta.rded. Maybe that's why his Mama Left him.

A recipe calls for

23

cup of sugar for every 4 teaspoons of vanilla. How much vanilla should be used for every 1 cup of sugar?

Answers

Answer:

.....

Step-by-step explanation:

If the line passing through points ( - 5, - 2) and ( 4,-1), what is the slope?

Answers

Slope is the change in y over the change in x.

Slope = (-1 - -2) / (4 - -5)

Slope = 1/9

Pls help
I will mark as brainliest ​

Answers

Answer:

-12оэээжжоояффпвнтоее

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