Part 1: Identify key features and graph a parabola from standard form.
Answer the following questions to determine the key features of the parabola based on the
equation shown, and then graph it
12(x + 3) = (y-2)^2


a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation (1
point)


b) What is the vertex of the parabola? (1 point)


c) What is the focus of the parabola? (2 points)


d) What is the directrix of the parabola? (2 points)


e) Sketch a graph of the parabola and label the vertex,focus, directrix, and axis of symmetry (4 points)

Answers

Answer 1

Answer:

a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation (1

point)

b) What is the vertex of the parabola? (1 point)

Step-by-step explanation:


Related Questions

The ratio of 7/36 to 5/6​

Answers

Answer:

7 : 30

Step-by-step explanation:

7/36 : 5/6

42 : 180

7 : 30

78.53981... to the one decimal place

Answers

answer: 78.5

explanation: you just round the first number after the decimal (if the second number is higher than 5 round up of lower leave it alone)

An English professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below the top 13% and above the bottom 61% C: Scores below the top 39% and above the bottom 20% D: Scores below the top 80% and above the bottom 10% F: Bottom 10% of scores Scores on the test are normally distributed with a mean of 72.8 and a standard deviation of 7.3. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

Answers

Solution :

The test is distributed normally with mean of 72.8 and the standard deviation of 7.3

Finding numerical limits for the D grade.

D grade : Scores below the top 80% and above the bottom 10%.

Let the bottom limit for D grade be [tex]$D_1$[/tex] and the top limit for D grade be [tex]$D_2$[/tex].

First find the bottom numerical limit for a D grade is :

[tex]$P(X<D_1)= 0.10$[/tex]

[tex]$P(X\leq D_1)= 0.10$[/tex]

[tex]$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_1-\mu}{\sigma}\right) = 0.10$[/tex]

[tex]$P\left(Z \leq \frac{D_1-72.8}{7.3}\right) = 0.10$[/tex]    ..........(1)

From (1)

[tex]$\frac{D_1 - 72.8}{7.3} = -1.28$[/tex]

[tex]$D_1 = -1.28(7.3)+72.8$[/tex]

      = 63.45

       ≈ 64

Now the top numerical limit for D grade :

[tex]$P(X>D_2)= 0.80$[/tex]

[tex]$1-P(X\leq D_2)= 0.80$[/tex]

[tex]$P(X\leq D_2)= 1-0.80$[/tex]

[tex]$P(X\leq D_2)= 0.20$[/tex]

[tex]$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_2-\mu}{\sigma}\right) = 0.20$[/tex]

[tex]$P\left(Z \leq \frac{D_2-72.8}{7.3}\right) = 0.20$[/tex]    ..........(2)

From (2)

[tex]$\frac{D_2- 72.8}{7.3} = -0.84$[/tex]

[tex]$D_12= -0.84(7.3)+72.8$[/tex]

      = 66.668

       ≈ 67

Therefore, the numerical limit for a D grade is 64 to 67.

Which number line best represents the solution to the inequality 7x ≤ 49 ?

Answers

Step-by-step explanation:

uedhhhjdjdhdhdddjjdhvdhddbdbddbb

Answer:

A

Step-by-step explanation:

im not 100 % sure hope i am correct

Joel races bikes. In his city, there are 4 4 lengths of race tracks. The chart shows the race tracks and each track's length in miles. Race Track Length in Miles A 1 4 4 1 ​ B 3 2 2 3 ​ C 1 3 4 1 4 3 ​ D 4 4 4 4 ​ Joel races 3 3 laps in the same lane. The total distance he races is less than 3 3 miles. Which track does Joel race on?

Answers

So if Joel raced 3 laps , and the total distance is less then 3 miles then it has to be Track C.

The manufacturer of a low-calorie dairy drink wishes to compare the taste appeal of a new formula (formula B) with that of the standard formula (formula A). Each of four judges is given three glasses in random order, two containing formula A and the other containing formula B. Each judge is asked to state which glass he or she most enjoyed. Suppose that the two formulas are equally attractive. Let Y be the number of judges stating a preference for the new formula. a Find the probability function for Y . b What is the probability that at least three of the four judges state a preference for the new formula

Answers

Answer:

a) [tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]

b) 0.033

Step-by-step explanation:

Let Y represents the number of judges preferring a formula.

There are total four judges and each judge can select either A or B

n = 4, p = 1/3

a) The probability function is

[tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]

b)

Substituting the value of y -3 in above equation, we get -

[tex]P_3 = \frac{4}{3} * \frac{1}{3}^3 * \frac{2}{3}^{4-3}\\= \frac{4}{3} * 0.037 * 0.67\\= 0.033[/tex]

Analyze the diagram below and complete the instructions that follow. The diagonals of kite KITE intersect at point P.
A.16 B.26 C.52 D.71

Answers

A.16 if u read it you will know :) hope it helped

Can someone please help me I’m it’s kinda blurry but you have to zoom in

Answers

Answer:

1 is x=53

2 is x=37

3 is x=45

4 is x=180

5 is x=130

6 is x=90

7 is x=15

8 is x=60

9 is x=20

10 is x=140

11 is x=47

12 is x=18

Step-by-step explanation: These can all be solved using vertical angles, complimentary angle theorem, and supplementary angle theorem! Really fancy names to say that opposite angles are equal, vertical angles (like #5).  Two angles that add up to 180 degrees forming a straight line, complimentary angles (like in #1). And in a right angle two angles will always add up to 90 degrees (#7 for example). 10 11 and 12 require you to use vertical angles and complimentary angles to solve them.

above ^^^^^^^^^^^^^^^^^^^^^^^

can someone help me with this I am stuck

Answers

Because you know the angle in the middle is 91 degrees, the other one is too.
Triangles have 180 degrees:
180-41-91 = 48.
48 degrees!
45+44=89
180-89=91
41+91=132
180-132=48
so the answer is 48

emmanuel spent 20% on his savings on a new video game that cost 40$. how much was in his savings abount to begin with?

Answers

Answer:

He had $200 to begin with.

Use the triangle below to answer the following questions:

Answers

I know only how to solve one, using the Pythagorean theorem, you have to square 45
Which is
45^2 - 25^2 = 1400
Now you multiply 37.42 x 37.42 which gets you 1400.2564


I’m in 8th grade by the way

is this right ? if not please help me !


ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

No it’s wrong count down 3 and over 2 ur points should land on a corner

si en la caja solo cabe media docena de platos, ¿ cuantas cajas serían necesarias para empacar la cantidad inicial de platos ?​

Answers

Answer:

y cuál es la cantidad inicial de platos?

Can someone please help me

Answers

Answer:

x = 20

y = 12

Step-by-step explanation:

opposite angles are congruent so we can set up this equation:

5x + 29 = 7x - 11

29 = 2x - 11

40 = 2x

x = 20

5(20) + 29 = 129

7(20) - 11 = 129

3y + 15 = 5y - 9

15 = 2y - 9

24 = 2y

y = 12

3(12) + 15 = 51

5(12) - 9 = 51

PLS HELP ILL GIVE BRAINLIEST​

Answers

Answer:

y= 2/7

b= 43

Step-by-step explanation:

what does it mean to be a solution to an inequality

Answers

Answer:

Rule 1. Adding/subtracting the same number on both sides.

   Example: The inequality x-2>5 has the same answer as the inequality x > 7.

Rule 2. Switching sides and changing the orientation of the inequality sign.

   Example: The inequality 5-x> 4 has the same solutions as the inequality 4 < 5 - x.

Done ✔

Use the multiplier method to decrease £56 by 14% show your working

Answers

Answer: £46.44

Step-by-step explanation:

£56 × 0.86 or (1 - 0.14)

Can you help with this I don’t know how to solve this.

Answers

Answer:

[tex]arclength = 13.44 ft[/tex]

Step-by-step explanation:

We are given PS = 28 feet, which is the length of the diameter.

The formula for arc length is  [tex]2\pi r\frac{x}{360}[/tex], where x is the degrees.

So, we need to find the radius. We know that the radius is half of the diameter, so:

[tex]\frac{28}{2}=14 ft[/tex]

We also need to find ∠TXS. Since we know the diameter is a line that crosses the center point of the circle, we also know that ∠PXT and ∠TXS add up to 180°. So:

∠PXT + ∠TXS = 180

125 + ∠TXS = 180

∠TXS = 180 - 125

∠TXS = 55°

Now, we can use the arc length formula:

[tex]arclength=2\pi r\frac{x}{360}[/tex]

[tex]arclength=2\pi (14)\frac{55}{360}[/tex]

[tex]arclength=13.43903524...[/tex]

[tex]arclength = 13.44 ft[/tex]

Check my work to make sure! Hope this helps!

Can someone please help meeeee

Answers

Answer:

it will also measure 131 degree

hope it helps

131 degree

Help ?? Anyone and how

Answers

Answer:

just insert the x numbers in the calculation.. so for x = - 3 - > (- 3) / 2 +4 = 2.5

Step-by-step explanation:

x - 2 = y 3

and so on

Write an equation to represent the total cost y for x days of renting a mid-size car from each of these companies. *

Answers

Answer:

Step-by-step explanation:

Hindi ko alm hehe

Yo no si sorryyyyyyyyyyyyyyyyyyyyyyy

math HELPPP MEEEEEEEE

Answers

Answer : 51x +26y+17

Step-by-step explanation :

Answer: I HAVE YOUR ANSWER!!!!!

Step-by-step explanation:

51x + 26y + 17

Is the sum of the
angle measures always equal to the
sum of the arc measures


Yes or no ?

Answers

Answer
Yes


Explanation
I just know

Car X traveled 64 miles and consumed 2 gallons of fuel, and Car Y traveled 54 miles and consumed 1.8 gallons of fuel. Which car traveled more miles per gallon?

Answers

Answer:

c

Step-by-step explanation:

how do u find the angle measure of l

Answers

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

Write an equation in the form y = mx + b

Answers

Answer:

y=-2x+8

Step-by-step explanation:

So I select 2 points:

(0,8) and (4,0)

so then I find the slope.

m = [tex]\frac{8-0}{0-4} \\=\frac{8}{-4} \\=\frac{2}{-1} \\=-2[/tex]

m = -2

Then the b (y-intercept) is 8, so equation is:

y=-2x+8

Hoped I helped ([P.S. I love math!)

my question is in the picture​

Answers

Answer:

x = 1

y = -1

Step-by-step explanation:

-5x + 5y = -10

rewrite the order:

5y = 5x  - 10

6x + 5y = 1

rewrite the order:

5y = 1 - 6x

substitute for 5y:

5x - 10 = 1 - 6x

simplify:

11x = 11

x = 1

5y = 1 - 6(1) = -5

y = -1

I have no idea what to do

Answers

Answer:

the second is correct

Step-by-step explanation:

choose as brainliest

The graph shows a proportional relationship. Which equation matches the graph.

A. y = 1/5x

B. y = x

C. y = 15x

D. y = 5x​

Answers

Answer:

D

Step-by-step explanation:

When x = 1, y = 5

When x = 3, y = 15

So, using this, find the slope.

(15 - 5) / (3 - 1) = 10 / 2 = 5

For every x, y increases by 5.

So, y = 5x, or D

Answer:

D

Step-by-step explanation:

5x

find the value of b in rectangle

Answers

be will equal 23. i’ll attach work
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