write the quadratic equation that has a Vertex at -4, negative 1 includes the point -2, 1​

Answers

Answer 1
Answer:
y = (1/2)(x + 4)^2 - 1

Explanation:

Start with the general quadratic equation in vertex form:
y = a(x - h)^2 + k

The vertex is at (h, k).
* Remember that -h is shown in the equation.


Substitute the information from the question into the general equation.
x = -2
y = 1
h = -4
k = -1

y = a(x - h)^2 + k
1 = a(-2 - (-4))^2 + (-1)

Simplify and isolate “a”
1 = a(-2 + 4)^2 - 1
1 = a(2)^2 - 1
1 = 4a - 1
4a = 2
a = 2/4
a = 1/2

Rewrite the general equation with values for “a”, “h” and “k”.
y = a(x - h)^2 + k
y = (1/2)(x + 4)^2 – 1

Related Questions

0.02 divided by 924.3

Answers

Answer:

46215

Step-by-step explanation:

Zeroes of p(x)=x^-2x-3 are

Answers

Answer:

x=3 x= -1

Step-by-step explanation:

(x-3)(x+1)

x-3=0. x+1=0

x=3 x= -1

A motorcycle traveled 250 kilometers in five hours. What was its average speed in km/hr?

Answers

50 kilometers per hour
250 km divided by 5 hr = 50 kilometers per hour

Answer:

50mph

Step-by-step explanation:

250km = 5hrs

250km/5hrs = 50km

50km = 1hr

PLEASE HELP ASAP!!!!!

Answers

Answer:

9<✓88<10

Step-by-step explanation:

✓88 = 9.38083

(03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input (x) 1 2 3 4
Output (y) 5 5 7 9
Part A: Do the data in this table represent a function? Justify your answer. (3 points)

Answers

Yeah I just got to scared to

describe the error in finding the product (big ideas math)

Answers

Answer:

d

Step-by-step explanation:

you have to foil in situations like these, getting you

ksquared +4k+4k+16

2(k)(4) is the same thing as 4k+4k, which is what is missing from the answer

Solve and graph the inequality

Problem and solutions are below

Answers

Answer: D

Step-by-step explanation: The > points to the right so the line goes that way and, in order to get rid of the fraction you multiply 5 * -4 = -20 so

Z > -20

will give brainliest

Answers

Answer:

first quadrant

Step-by-step explanation:

first quadrant because yes

If (x^2 2 x 1) is singular and (x 2x 3x 4x) is non-singular, find the value of x.

Answers

I assume you're talking about two square matrices,

[tex]A=\begin{bmatrix}x^2&2\\x&1\end{bmatrix}[/tex]

and

[tex]B=\begin{bmatrix}x&2x\\3x&4x\end{bmatrix}[/tex]

If A is singular, then its determinant is 0:

[tex]\det A=x^2-2x=x(x-2)=0\implies x=0\text{ or }x=2[/tex]

B is not singular, so its determinant is not 0:

[tex]\det B=4x^2-6x^2=-2x^2\neq0[/tex]

This tells you x ≠ 0, so x = 2.

The graph of a function is shown:

scatter plot of the points negative 5, 4 and negative 2, negative 1 and negative 1, 3 and 4, negative 3

Which of the following correctly identifies the set of outputs?

{–3, –1, 3, 4}
{–5, –2, –1, 4}
{(–5, 4), (–2, –1), (–1, 3), (4, –3)}
{(4, –5), (–1, –2), (3, –1), (4, –3)}

PLZZZZZZ HELP I WILL. ARY YOU BRAINLIEST

Answers

It’s the second one ok big bro so yea

Answer:

ITS THE FIRST ONE

Step-by-step explanation:

THE OUTPUTS ARE THE Y-VALUES

THE Y-VALUES ARE 4, -1, 3, -3

THEREFORE, THE ANSWER IS THE FIRST OPTION. {-3, -1, 3 4}

Given g(x) = 4x−8, find g(1/2).

Answers

Answer:

4(1/2) = 2

2-8 = -6

-6 is your answer

hope this helps!

For finding g(1/2) you need to substitute the value of x= 1/2

Thus , g(1/2):

[tex] = 4 \times \dfrac{1}{2} - 8[/tex]

[tex] = 2 - 8[/tex]

= [tex]\red{\bold{\large{-6}}}[/tex]

A square garden has an area of 242 square feet. What is the approximate length of each side of the garden?
60.5 feet
121 feet
15.6 feet
16.5 feet

Answers

It’s 60.5 because 242 divided by 4 is 60.5

Please find the rise over run and draw the line i’m so confused right now.

Answers

Answer:

4/3

Step-by-step explanation:

rise is how many point up it is to the next coordinates, and run is how many points over (think of rising up and running over). rise/run makes the slope.

hopefully this helps! plz consider brainliest! :)

p.s. i put dashes to help count how many points it is from point A to point B

Write a linear equation given the graph

Answers

Answer: Y= 1/-1x+4

Step-by-step explanation: Y equals 1 over negative 1 x plus 4

a cube has a volume 512 cubuc feet. what is the side length?​

Answers

Answer:

The cube is a 8x8x8

so a side length is 8

someone please answer asap

Answers

Answer:

alternate exterior angles they are facing diagonally from each other and are on the outside of their respective angles making them alternate exterior

Answer:

Corresponding angles, i.e they are in the congruent matching sides

if 5y - 8 < 12, what is the maximum possible value of 10y ?

Answers

Answer: The maximum possible value of y is 30 ;)

1 Find the median of the following.
a. 3, 6, 7, 4, 5, 9, 8, 9,7​

Answers

Answer:

6.4 repeating

Step-by-step explanation:

3 + 6 + 7 + 4 + 5 + 9 + 8 + 9 + 7 = 58

58 ÷ 9 = 6.4444 (and so on)

Explain while solving absolute value
inequalities, when should "and" be used and
when should "or" be used?

Answers

Answer:

Step-by-step explanation:

I have "and" but not "or"

"and" is when your talking about the decimal point for example:

1.2

one, and, two tenths

PLEASE HELP MEEEEEE ILL GIVE MAX POINTS AND BRAINIEST TYSMMM <33333


Answers

Answer:

Please see below :)

Step-by-step explanation:

4 cubed + 8 is the sum.

y is the variable.

9/y is the quotient.

Hope this helps!

Answer:

Please see below :)

Step-by-step explanation:

4 cubed + 8 is the sum.

y is the variable.

9/y is the quotient.

Hope this helps!

Suzie, Georgia and Bernadette do a project together. Suzie does 5/18 of the project, Georgia does 2/9 of the project and Bernadette does 1/2 of the project

How much of the project should still be completed? And who do you think should do the last section of the project?

Answers

Answer:

the project has been completed.

Step-by-step explanation:

5/18 +4/18 + 9/18 = 18/18 or 1

so therefore no one has to complete the project, as it has already been completed

Sara has 2 paintings in her portfolio and paints 3 more each week. Kevin
has 12 paintings in his portfolio and paints 2 more each week. After how
many weeks will Sara and Kevin have the same number of paintings? *
12 weeks
O 10 weeks
O 16 weeks
O 14 weeks

Answers

Answer:

If Sara has 2 painting already and paints 3 more each week, and Kevin has 12 paintings already and paints 2 more each week, we go down the list of answers and multiply them by the number of paintings painted each week. So first is 12x2=24 24+12=36    then 12x3=36 36+2=38   now we do 10x2=20 20+12=32   10x3=30 30+2=32 so your answer would be 10 weeks

Step-by-step explanation:

If angle 2 = 48, determine the measure of angle 5.

Answers

Answer:

Angle 2 = 48

we are going to divide 48 by 2 to get the Angle 1

Angle 1 = 24

then Angle 5 = (5×24)

Angle 5 = 120

inverse function of f(x)=100+4x

Answers

Answer:

[tex]f(x)^{-1} =\frac{x}{4} -25[/tex]

Step-by-step explanation:

This is the inverse function of f(x)=100+4x

To find the inverse, interchange the variables and solve for

Please help me with this.

Answers

Answer:

v=8

Step-by-step explanation:

12=12+v−8/2

12=12+1/2

v+−4(Distribute)

12=(1/2v)+(12+−4)(Combine Like Terms)

12=1/2v+8

Step 2: Flip the equation.

1/2v+8=12

Step 3: Subtract 8 from both sides.

1/2v+8−8=12−8

Step 4: Multiply both sides by 2.

2*(1/2v)=(2)*(4)

v=8

12 = 12 + (v - 8)/2
Subtract 12 from both sides
0 = (v - 8)/2
Multiple both sides by 2
0 = v - 8
Add 8 to both sides
8 = v
Therefore A is correct

In 2005, MusicMart sold 14,550 CDs. In 2010, they sold 12,000 CDs. What is the rate of change in the number of CDs sold?
A) -2550 per yr B) -510 per yr C) -425 D) -2400 per yr

Answers

Answer:

B) -510 per yr

Step-by-step explanation:

2005 = 14,550 CDs sold

2010 = 12,000 CDs sold

Difference in years = 2010 - 2005

= 5 years

Difference in CDs sold = 12,000 - 14,550

= - 4,550

Rate of change in the number of CDs sold = change in the number of CDs / change in years

= -4,550 / 5

= -510 per year

The correct answer is B) -510 per yr

Jaunice is redecorating her room. She wants to paint a design on a rectangular section of her wall That is at least 76.5 ft.². The height of the design will be 8.5 feet. What is the minimum length of the design Juanice will paint on the wall

Answers

Answer: 9 feet

Step-by-step explanation:

The minimum length of the design Jaunice will paint on the wall is 9 feet.

It is required to find the the minimum length.

What is rectangle?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape

Given:

Area of rectangular section of her wall =76.5 ft.²

Height of the design = 8.5 feet.

We know that

Area of rectangle=length*breadth

Area = l*h

76.5   =8.5*l

l=76.5/8.5

l= 9 feet.

Therefore, the minimum length of the design Jaunice will paint on the wall is 9 feet.

Learn more about rectangle here:

brainly.com/question/18581708

#SPJ6

     

Luis purchased a laptop computer that was marked down by
[tex] \frac{2}{5} [/tex]
of the original price. What fractional part of the original price did Luis pay?​

Answers

Answer:

Luis paid 3/5 of the original price

Step-by-step explanation:

Luis purchased a laptop with a fractional discount of 2/5 of the original price.

When dealing with fractional parts of a whole, the sum of all parts must equal 1. With this in mind, we can say:

Paid price + Discount price = Original price

Or, equivalently:

paid fraction + discount fraction = 1

From the above relation, it follows that:

paid fraction = 1 - discount fraction

[tex]\displaystyle \text{paid fraction }=1-\frac{2}{5}[/tex]

[tex]\displaystyle \text{paid fraction }=\frac{5-2}{5}[/tex]

[tex]\displaystyle \text{paid fraction }=\frac{3}{5}[/tex]

Luis paid 3/5 of the original price

An ice skating show earned 15,385 in one night. Tickets for the show cost $25 for adults and $15 for children. The number of adults who attendee the shw was 41 more than the number of children who attended the show. How many adults and children attended the show?

Answers

Answer:

Number of adults that attended the show = 400

Number of children that attended the show = 359

Total people who attended the show = 759

Step-by-step explanation:

Total earned = 15,385

Adults = $25

Children = $15

Let

Adults = A

Children = C

The number of adults who attendee the show was 41 more than the number of children who attended the show

A = C + 41

25A + 15C = 15,385

Substitute

A = C + 41

25(C+41) + 15C = 15,385

25C + 1,025 + 15C = 15,385

40C + 1,025 = 15,385

40C = 15,385 - 1,025

40C = 14,360

Divide both sides by 40

C = 14,360 / 40

= 359

C = 359

Substitute C = 359 into

A = C + 41

A = 359 + 41

= 400

A = 400

Number of adults that attended the show = 400

Number of children that attended the show = 359

Total people who attended the show = 759

1. El siguiente conjunto de datos corresponde al tiempo de duración de un estímulo fisioterapéutico en un grupo de estudiantes de la UEF-DAB: 1,8; 1,6; 1,4; 1,7; 1,9; 1,4; 2,1; 2,1; 2,9; 1,4; 2,2; 2,8; 2,3; 1,4; 2,2; 2,2; 1,6; 2,1; 2,0; 1,8. Elabore una tabla simple de frecuencias, luego determine la media aritmética, mediana, moda, varianza y desviación estándar respectiva.

Answers

Can you translate in english please for me to answer???

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