The vertex of a parabola is (-1, 4). What is the equation of the axis of symmetry of the parabola?

Answers

Answer 1

Answer:

x = - 1

Step-by-step explanation:

The vertex is given (-1, 4).

The axis of symmetry is a vertical line and passes through vertex.

Since the x- coordinate of vertex is  - 1, the line of symmetry is x = - 1.

Answer 2

Answer:

x=-1

Step-by-step explanation:

Parabola is symmetric on both sides of the vertex

The axis of symmetry is the x coordinate of vertex

Here the vertex is (-1,4)

So axis of symmetry is x=-1


Related Questions

Which equation has no solution?
A)
2x=5
B)
X + 12 = 3x - 2
C)
3x + 4 = 3x + 3
D)
- 2x + 5 = -2x + 5

Answers

Answer: Choice C

If you subtract 3x from both sides of that equation, you'll go from

3x+4 = 3x+3

to

4 = 3

which is a false statement. No matter what you plug in for x, the original equation is always false as well. This is why it has no solutions.

During a snowstorm, Noah tracked the amount of snow on the ground. When the
storm began, there was 1 inch of snow on the ground. For the first 4 hours of the
storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 2
hours and then started again at a constant rate of 2 inches per hour for the next 6
hours. Make a graph showing the inches of snow on the ground over time using the data that Noah created
data that Noah collected.
Click twice to plot a segment.
Click a segment to delete it.
25
24
23
22
ow on the Ground (Inches)
20
19
18
17
16
15
14
13
12
9

Answers

Answer:

ss the question

Step-by-step explanation:

Will someone PLEASSSSSSEEEEEEEE help me

Answers

Answer:

C

Step-by-step explanation:

i did the math she needs to wake up at 8:00

the given number line shows the solutions to which inequality
A)x + 4 ≥ 5

B)x – 2 > 7

C)x – 3 ≥ 6

D)x – 1 ≥ 8
—————————-


Answers

C) x – 3 ≥ 6

Solving this inequality by adding 3 on both sides, we get

x ≥ 9 which is shown on the number line

Need help with thissss!!

Answers

Answer:

f(5) = 38

Step-by-step explanation:

f(a) = 7(a + 1) - 4

f(5) = 7(5 + 1) - 4

f(5) = 7(6) - 4

f(5) = 42 - 4

f(5) = 38

It is 9 kilometers from Charlie's house to the nearest mailbox. How far is it in meters?
Be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:

9,000 meters

3.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

f(x) = 6x2 + x − 12

A. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12

B. linear function; linear term: 6x2; constant term: −12

C. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12

D. linear function; linear term: x; constant term: −12

Answers

Answer:

A. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12

Step-by-step explanation:

We have been given the equation

The degree of the given polynomial is 2.

Hence, the function is quadratic.

The term with exponent 2 on x is called the quadratic term. The term with exponent  1 on x is called linear and the term without any variable is a constant term.

Therefore, we have

Quadratic term= 6x^2

Linear term= x

Constant term= -12

9514 1404 393

Answer:

  A. quadratic function; quadratic term: 6x²; linear term: x; constant term: −12

Step-by-step explanation:

The squared term (6x^2) is also called the "quadratic" term. The term with x to the first power (no exponent) is the "linear" term. The term with no variable at all is the "constant" term.

It should be no mystery that the quadratic term is 6x^2; the linear term is x; and the constant term is -12.

_____

Additional comment

As with much of algebra, this is about vocabulary and pattern recognition.

What is the answer to, one half of 9?

Answers

Answer:

4.5

Step-by-step explanation:

One half of 9 = 9/2 = 4.5


What is the key difference between simple interest and compound interest, and how does this difference affect the
effectiveness of each?

Answers

Answer:

the answer is

Step-by-step explanation:

The simple interest is calculated only on the principal amount of a loan so it is relatively easier to calculate than the compound interest. The compound interest is calculated on the principle amount plus the interest that the amount gets per compounding period up to the period of the loan.

What’s the answer need in 20 minutes

Answers

G(x)=-6

Explanation

G(1)=-1-5

G(1)=-6

A rectangular field is ten times as long as it is wide. If the perimeter of the field is 1100 feet, what are the dimensions of the field?

Answers

Answer:

Length = 500, Width = 50

Step-by-step explanation:

EQUATION:

2(10x) + 2x = 1100

20x + 2x = 1100

22x = 1100

x=50

I need help with my math

Answers

Answer:

x^7

Step-by-step explanation:

Answer:

(x)(x)(x) . (x)(x)(x)(x)

Step-by-step explanation:

That's the answer. Hope it helps:)

In the formula D = 1 ÷ f, if f is equal to -0.025, then D is equal to

Answers

The answer is D= -40
I’m assuming that you can’t use a calculator in my work:

To solve this I changed the decimal -0.025 into a fraction .25 equals 1/4 so -0.025 must equal negative 1/40. -1/(1/40) equals -40

Una chompa cuesta 112 bs ¿a como debo venderla para tener una ganancia de 15%?

Answers

Answer:

746

Step-by-step explanation:

112 dividir 15

Y por el resultado lo multiplicas x 100

y esas va ser tu respuesta

Which of the functions below have period pie check all that apply

Answers

There is no photo attached.

A shadow 12 meters long is cast by a water tower that is 16 meters tall. What is the length of the shadow cast by a nearby utility pole that that is 12 meters tall?

A. 6
B. 9
C. 13
D.16

Answers

perdón xbdkdbsjjznsNxnznxn

whats the answer can someone answer please​

Answers

Answer:

b and c

Step-by-step explanation:

Find the product of 4v22 and 4v4 in simplest form. Also, determine whether the result is rational or irrational and explain your answer. Result: V The result is because it integers and its decimal expansion be written as the ratio of two terminate or repeat.​

Answers

Answer:

32[tex]\sqrt{22}[/tex]

irrational

cannot be written as a ratio

does not repeat or terminate

Step-by-step explanation:

[tex]\sqrt{4}[/tex] = 2

4[tex]\sqrt{22}[/tex] · 4(2)  =  4[tex]\sqrt{22}[/tex] · 8  =   32[tex]\sqrt{22}[/tex]

Which of the following statements about resale price maintenance is​ correct? Resale price maintenance​ _______.
A. is considered by some economists to be efficient and by other economists to be inefficient
B. is also called horizontal price fixing
C. is legal under the Sherman Act
D. occurs when a manufacturer prints the price of its good directly on the packaging

Answers

Answer:

A. is considered by some economists to be efficient and by other economists to be inefficient

Step-by-step explanation:

Find a polynomial f (x) of degree 4 that has the following zeros.
6 (multiplicity 2), –1, 0
Leave your answer in factored form.

Answers

Step-by-step explanation:

The polynomial with given zero's is:

f(x) = a(x - 6)(x - 6)(x - (-1))(x - 0)

Or simplified:

f(x) = ax(x + 1)(x - 6)², here a is the coefficient we don't know

Clayton Burrington purchased the following school supplies on s
$2.79 notebook for $1.99, a $1.49 ballpoint pen for $0.99, a $1.99 p
notebook paper for $0.99, and a $3.49 automatic pencil for $2.79.
Clayton estimated the total savings to be $7.00. (a) Is the answer
reasonable? (b) If not, what error was made?

Answers

Answer:

The answer is not reasonable.

The error that Clayton made was that he accidentally added all of the products that had a saved price tag on it, he did not find the difference between the old price and the new, sales price.

Step-by-step explanation:

Hope this helps :) Mark me brainliest if anyone else answers this question.

If the principal is $3,200.00 and the rate of interest is 8%, what is the final account balance after 3 years

Answers

The answer is $2,432. I hope this is correct:) sorry if it isn’t

Answer:

i think it would round to 4031.08

Step-by-step explanation:

3200.00 * 1.08^3

=4032.0784

Someone, please help me with this. I will give Brainliest

Answers

Explanation:

What we need to do here is to take the ratio of the distances of the planets to determine how much farther Neptune is from the sun compared to Mercury:

[tex]\dfrac{D_N}{D_M} = \dfrac{4.503×10^9\:\text{km}}{5.791×10^7\:\text{km}} = 7.776×10^1[/tex]

This means that Neptune is 77.76 times farther from the sun than Mercury is.

For the amusement of the guests, some hotels have elevators on the outside of the building. One such hotel is 400 feet high. You are standing by a window 100 feet above the ground and 150 feet away from the hotel, and the elevator descends at a constant speed of 20 ft/sec, starting at time t = 0, where t is time in seconds. Let θ be the angle between the line of your horizon and your line of sight to the elevator. 4 (a) Find a formula for h(t), the elevator's height above the ground as it descends from the top of the hotel. h(t) = (b) Using your answer to part (a), express θ as a function of time t. θ(t) = Find the rate of change of θ with respect to t. dθ dt = (c) The rate of change of θ is a measure of how fast the elevator appears to you to be moving. At what time does the elevator appear to be moving fastest? time = seconds At what height does the elevator appear to be moving fastest?

Answers

9514 1404 393

Answer:

  a.  h(t) = -20t +400

  b.  θ(t) = arctan(2 -2/15t); dθ/dt = -30/(1125 -120t +4t^2)

  c.  15 seconds; 100 ft

Step-by-step explanation:

a. The initial height of the elevator is 400 ft. The rate of change of height is -20 ft/s, so the height equation can be ...

  h(t) = -20t +400

__

b. The tangent of the angle above the line of sight is "opposite"/"adjacent":

  tan(θ) = (h(t) -100)/(150) = -2/15t +2

  θ(t) = arctan(2 -2/15t) . . . . radians

The derivative of the angle function is ...

  dθ/dt = 1/(1+(2 -2/15t)^2)(-2/15)

  dθ/dt = -30/(1125 -120t +4t^2)

__

c. The value of dθ/dt will have a peak where the denominator has a minimum, at t = -(-120)/2(4)) = 15. (The quadratic vertex coordinate is t=-b/(2a).)

The elevator appears to be moving fastest at t=15 seconds.

The height at that time is ...

  h(15) = 400 -20(15) = 100

The elevator appears to be moving fastest when it is at eye level, 100 ft above the ground.

In fast will give brainly

Answers

☆Answer :

= 1 × ⅔ × 5/3

= ⅔ × 5/3

= 10/9

= 1 1/9 ft³ (D.)

Determine the length of the model.
-60 ft-
1 in. = 8 ft
=

Answers


Length of the model = 11.6 inch

1. Two linear functions are shown below. Which function has the greater rate of change? Function A Function B 10 у y 4 32 8 8 6 44 12 4 56 2 16 68 Х 0 20 80 0 2 4 6​

Answers

Answer:

I don't understand clear ur question

A game designer is creating a computer animation of a rectangle with sides that vary in size. The length of the rectangle in centimeters after t seconds is given by the expression 2t-9, while the width is given by the expression 1 + t. After how many seconds is the rectangle a square?

Answers

Answer:

Step-by-step explanation:

Squares have equal length and widths

2t - 9 = 1 + t

2t - t - 9 + 9 = 1 + 9 + t - t

t = 10 s

Can someone Please answer this question fast?

Answers

Answer:

It is impossible to convert in square form.

Try quadratic formula

Draw a square and its diaginals

Answers

Answer:

you cant draw......................

Step-by-step explanation:

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