Find the function of a graph in vertex form, whose
vertex is (-1,5) and passes through the point (2, -3)

Answers

Answer 1

Answer:

            y =  -⁸/₉(x + 1)² +5

Step-by-step explanation:

y = a(x - h)² + k    - vertex form of quadratic function with vertex (h, k)

y = a(x - (-1))² + 5    - vertex form of quadratic function with vertex (-1, 5)

y = a(x +1)² + 5

graph goes through (2, -3) so if x=2 then y =-3

-3 = a(2+1)² + 5

-3 -5 = a×3² + 5 - 5

 -8 = 9a

  a = -⁸/₉

So the equation of the function:

                                                    y =  -⁸/₉(x + 1)² + 5


Related Questions

True or False: These two equations are equivalent
5x + 18 = 32
18 = 80

Answers

I think it would be true ?

which of these is correct? will give brainliest C:

Answers

Answer:

$7.50/lb    answer A is correct

Step-by-step explanation:

Find the unit cost:  $ per pound:

 Calculate

      $3.00

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

   (2/5) lb

It's slightly easier to calculate the equivalent

 $3.00

------------- = $7.50/lb    answer A is correct

 0.4 lb

Answer: D. $1.20 per pound

Step-by-step explanation:

Because 2/5= 0.4 in a decimal form.

If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).

1.20= 1.2

The side length of the square shown is tripled.
3 cm
Which percent of increase is greater the percent of increase for the perimeter of the square or the percent of increase for the area? How
much greater?
The percent of increase for the
is greater
It is
% greater

Answers

Answer:

The percentage increase for the area is greater

It is 600% greater

Step-by-step explanation:

Here, we have a square of side length 3 cm

The area of the square is L^2 = 3^2 = 9 cm^2

Perimeter of the square = 4L = 4 * 3 = 12 cm

When we triple the length of the square, its new length becomes 3 * 3 = 9 cm

Area here will be 9 * 9 = 81 cm^2

Perimeter = 4 L = 4 * 9 = 36cm

To calculate percentage change, we use the formula;

(new value - old value)/old value * 100%

For the perimeter;

(36-12)/12 * 100% = 24/12 * 100% = 2 * 100% = 200%

For the area;

(81-9)/9 * 100% = 72/9 * 100% = 8 * 100% = 800%

The percentage increase of the area is greater

How much greater? 800% - 200% = 600%

Need help filling out the chart for #3

Answers

Answer:

Slope intercept equation= y2-y1 over x2-x1

When to use= You know the slope and any point

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Answers

Answer:

14 miles

Step-by-step explanation:

make it into an equation 1.50x+3=24 then solve

Putang ina mo gago ka

HELPPP me pleaseeeeeeeeeee

Answers

Answer: Y=104

Step-by-step explanation: Angle 1 is 2x which means it is 76, 180-76 gives you 104

ASAP PLZ HELP
A car traveling 65 kilometers per hour travels 195 kilometers. How long did it take the care to travel that distance at that speed?

Answers

Answer:hope it helps,

Step-by-step explanation:

if 60% people in a city like cricket 30% like football and the remaining like other games
. 50 . ​

Answers

Answer:

is that supposed to be a question

Which values are outliers?

5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9

Answers

0.8 Outlier

1.1 Outlier

10.2 Not Outlier

10.9 Not Outlier  

Kay needs to fix part of her fence.She can buy 6 feet of fencing for $32.00 at a fencing store or 10 feet of fencing for $52.50 at a home store.She visits another store that sells 8 feet of fencing for a certain cost.The cost per foot is between that at the fencing store and the home store.How much the store charge for 8 feet of fencing?

Answers

Answer

42.66

Step-by-step explanation:

each foot is 5.33 so 5.33 x 8 is 42.66

Robert conducts an experiment to measure the temperature of a solution. Due to a defect in the apparatus, the temperature of the solution measured in each trial is 5°F more or less than the theoretical temperature of 11°F of the solution.

The following absolute value equation can be used to determine the temperature of the solution measured by Robert:

|x − 11| = 5.

Here, x represents the measured temperature of the solution in degrees Fahrenheit.

Based on the above information, what is the temperature of the solution as measured by Robert?

A.
The temperature of the solution measured by Robert is 5°F or 6°F.
B.
The temperature of the solution measured by Robert is -6°F or 6°F.
C.
The temperature of the solution measured by Robert is -6°F or -16°F.
D.
The temperature of the solution measured by Robert is 16°F or 6°F.

Answers

the answer to this question is d

What is the value of 120?

Answers

It would be -1/2 I think
the answer is -1/2. have a good day!

Give another name for line JK.

Answers

Answer:

indecsaty

Step-by-step explanation:

the indecsaty of the line more known as a slope is the other name

Write two hundred twenty-two and six thousand five hundred seventeen ten-thousandths as a decimal number.

Answers

Answer:

222.617

Step-by-step explanation:

Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5

Answers

Answer:
1.5

Explanation:

3x + 9 = 2x + 5
One Solution
No Solution
All real numbers

Answers

One solution (x= -4)
The answer is One solution x=-4

Colin predicted whether he got answers right or wrong in his 50 question exam. He identified the 8 questions he thought he got wrong. It turns out that Colin got 5 questions right that he thought he got wrong. Colin also got a total score of 45 out of 50 in the test. What is the percentage accuracy he had with predicting his scores?

Answers

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Now, we know percentage accuracy is given by :

[tex]\% =100- \dfrac{|Actual\ value-Theoretical\ value|}{Actual\ Vlaue}\times 100\\\\\%=100-\dfrac{|45-42|}{42}\times 100\\\\\%=100-7.14 \%\\\\\%=92.86\%[/tex]

Therefore, percentage accuracy he had with predicting his scores is 92.86%.

Hence, this is the required solution.

Helppppp Meeeeee !!!!!!!!!

Answers

Answer:

a) draw the triangle using the graph points

b) move the triangle 3 points to the left and 1 point down

c) translation

d) draw this shape

e) write down the coordinates

Step-by-step explanation:

The x-3 in translation tells you to move 3 squares to the left along the x axis in translation and y-1 tells you to move down one on the y axis.

Which statement about the lines below is true? 4y=-16 and 3x=27

Answers

Answer:

4y=16 is true if you do the problem you can see it wont work and i simplified and got the answer

Step-by-step explanation:

Write the equation of the line that passes through the given points.
(0,4) and (5,10)

Answers

Answer: y = 6/5x + 4

Step-by-step explanation: The equation is in form y = mx + b, where m is the slope and b is the y-intercept. You already have the y-intercept, which is 4. To find the slope, use rise over run. y2 - y1 / x2 - x1 = 10-4/5-0 = 6/5.

true or false: an cubic function may have 3 irrational zeros

Answers

Answer: True

The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be

(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6

This has the rational roots x = 1, x = 2, x = 3.

However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.

In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.

(x - 3)? > -3(x + 2) for x = 3

Answers

Answer:

The Left side (0) is greater then the right side (-15)

Step-by-step explanation:

(x - 3) is greater than -3(3+2)

Which pairs of numbers have a greatest common factor of 9

Answers

Answer:

81 and 72

Step-by-step explanation:

Answer:

81 and 72

Step-by-step explanation:

If the pth term of an A.P. is q and the qth term is p. Prove that its nth term is (p+q-n). ​

Answers

Given:

pth term of an AP = q

qth term = p

Prove:

nth term of A.P. is (p+q-n). ​

Proof:

We know that,

nth term of an AP (an) = a + (n - 1)d

Hence,

⟹ a + (p - 1)d = q

⟹ a + pd - d = q

⟹ a = q - pd + d -- equation (1)

Similarly,

⟹ a + (q - 1)d = p

Substitute the value of a from equation (1).

⟹ q - pd + d + qd - d = p

⟹ qd - pd = p - q

⟹ - d(p - q) = p - q

⟹ - d = 1

⟹ d = - 1

Substitute the value of d in equation (1).

⟹ a = q - p( - 1) + ( - 1)

⟹ a = q + p - 1

Now,

an = q + p - 1 + (n - 1)( - 1)

⟹ an = q + p - 1 - n + 1

⟹ an = p + q - n

Hence, Proved.

I hope it will help you.

Regards.

Step-by-step explanation:

ANSWER

pth term = q

a+(p−1)d=q

qth term = p

a+(q−1)d=p

Solving these equations, we get,

d=−1

a=(p+q−1)

Thus,

nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)=(p+q−n)

Find all solutions to 3x2 + 2x + 1 = 0

Answers

Answer:

x = -3.5

Step-by-step explanation:

3 x 2 + 2x + 1 = 0

6 + 2x + 1 = 0

2x + 7 = 0

2x = -7

x = -7/2 = -3.5

Hope this helped! If not, please let me know! <3

How many different four-digit alarm codes can be formed for a house alarm if
digits cannot be repeated?

Answers

Answer:

about 3000

Step-by-step explanation:

simplify show your work

Answers

4(1-3x)+7x-8

4-12x+7x-8

-12x+7x+4-8

-5x-4

The answer is -5x-4

Could you give me the brainlist?

I need help with number 1 I don’t understand I’ll give BRAINLIEST to whoever helps me the best

Answers

B. 200, rounded answer since it was 199.9

Answer:

The answer is B.200

Step-by-step explanation:

145.93×1.37=199.9

We need to multiply because the second team takes the times as longer than the first team. The answer is 200 because we need to roundup 199.9 into 200

Hope it helps :)

What algebraic expression could represent the average of 2x, x + 3, and 6x?

Answers

Answer:

3x+1

Step-by-step explanation:

(2x+x+3+6x)/3

9x+3/3

3x+1

The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.

This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.

Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.

In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.

Learn more about Expressions here :

brainly.com/question/21751419

#SPJ2

Which word best describes the element in box number 2?
a Brittle
b. Gas
С Semiconductor
d. Shiny

Answers

the correct answer is c. hope this helped

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