Write the equation in vertex form using the following information: vertex (4, -6) and a=1.
Submit

Answers

Answer 1

Answer:

            y = (x - 4)² - 6

Step-by-step explanation:

An equation of a quadratic function in a vertex form is y=a(x-h)²+k, where vertex is (h, k)

vertex (4, -6) means  h = 4  and k = - 6

So:

     y = 1(x - 4)² + (-6)

    y = (x - 4)² - 6


Related Questions

HELP!!
Write a story problem in which you would have to multiply 5 × -1/3 to find the answer.

Answers

Zack has a Fahrenheit thermometer which shows a temperature of 29ºF. He says his temperature is above freezing. Jack has a Celsius thermometer. He disagrees and says that the temperature is below zero on his thermometer. Who is right and what is the temperature in degrees Celsius? SOLUTION

To convert Fahrenheit to Celsius, we first subtract 32. That gives us -3.

Then we multiply by 5/9 to convert to Celsius. When we do this, 3 goes into the denominator and we get -3/9 which is -1/3. Finally we multiply this fraction by 5: 5×-1/3=-5/3=-1.67°C or -1⅔°C.

So Jack was right. The negative value means the temperature is below zero, that is, below freezing. The temperature is 1⅔°C below zero.

ryan took a history test with 25 questions. 60% of the questions were multiple choice. How many questions were multiple choice?

Answers

Answer:

15

Step-by-step explanation:

How can you find the reciprocal of 0.8? Select all that apply.

Answers

Answer:

TAKEN FROM GOOGLE

Step-by-step explanation:

The reciprocal of a number is the number that the initial number can be multiplied by to get the product 1. Therefore, the reciprocal of .8 is 1.25, since those two factors when multiplied together created a product of 1, or 1.000. The easiest way to find a reciprocal is to write the initial number as a fraction ( in this case, 8/10) and then "flip it" (making it 10/8) and simplifying. (10/8 = 1 and 1/4, or 1.25)

Which expression is equivalent to 25x2 + x

Answers

Answer:

50+x

Step-by-step explanation:

if you simplify, 25*2 is 50.

50+x

The answer to the question is 50x

find the value of x - PLEASE HELP

I need to show my work -

Thank you!!

Answers

Answer:

360=297+(x-36)+25

360=297+25-36+x

360=286+x

360-286=x

74=x

Answer:

x = 74 degree

Step-by-step explanation:

All those angles must add up to 360 degrees:

360 degrees  =  (297 + x - 36 + 25) deg, or

360 = 297 - 36 + 25 + x, or

x = 74 degrees

what is the complex conjugate of 6+2i

Answers

It should be the sqrt-8 should be the answer on edg2020

Define the term PROPORTIONAL RELATIONSHIP.

Answers

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality". Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Proportional relationships are relationships between two variables where their ratios are equivalent.

What is 1.7x=? When x=5

Answers

Answer:

8.5

Step-by-step explanation:

1.7*5=8.5

Answer:

Step-by-step explanation:

a = answer

1.7x = a

1.7(5) = a

8.5 = a

Please help! I’ll mark as BRAINLIEST :))

If a conditional statement is true and its converse is also true, could the conditional statement be written in another way?

Answers

Step-by-step explanation:

could the conditional statement be written in another way

Find the value of x so that line m is parallel to line l.

Answers

Answer:  A) 46

Explanation:

The angles shown are same side interior angles.

For line L to be parallel to line M, the same side interior angles must be supplementary, or they must add to 180.

28+(3x+14) = 180

28+3x+14 = 180

3x+42 = 180

3x = 180-42

3x = 138

x = 138/3

x = 46

Step-by-step explanation:

the angles are same side interior angles and because of that they are supplementary and add up to 180°

(3x + 14) + 28 = 180°

3x + 14 + 28 = 180

3x + 42=180

3x=180-42

3x= 138

divide by 3

x = 46

y=-3x + 6
What is the slope?
And what would the points be on a graph

Answers

the slope is -3 and the points would start at 6 which is the y intercept. you would plot a point at (0,6) then from there you would go up 3 and left one and continue this pattern. the line goes left because the slope is negative
The slope is -3 the x intercept is (2,0) and the y intercept is (0,6)

Solve the inequality and graph the solution on the line provided.
8r - 9> -17
Pls help me !!!

Answers

Answer:

[tex]\boxed { x > -1}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]8x - 9 > - 17[/tex]

-Add [tex]9[/tex] to both sides:

[tex]8x - 9 + 9 > -17 + 9[/tex]

[tex]8x > -8[/tex]

-Divide both sides by [tex]8[/tex]:

[tex]\frac{8x}{8} > \frac{-8}{8}[/tex]

[tex]\boxed { x > -1}[/tex]

-The number line (graphed):

1. Which set of numbers includes the square root of 42?

a) irrational number
b) integers
c) rational numbers
d) whole numbers

2. What is the name of this set?
{ … -3, -2, -1, 0, 1, 2 3, …}
a) real numbers
b) integers
c) rational numbers
d) whole numbers

3. Which set does not include negative numbers?
a) real numbers
b) integers
c) rational numbers
d) whole numbers

4. Which of these equals an integer?
a) 12 ¸ 5
b) -12 ¸ 5
c) -15 ¸ 4
d) -15 ¸ 5

5. Which of these is closest to 150?

a) 12.2
b) 12.4
c) 14.2
d) 15

Answers

Answer:

C,B,D,A,D

Step-by-step explanation:

Plz anwer i give 30 points or 20

Answers

Answer:

x = -6

hope this helps!

Answer:

the answer should be letter B your welcome ;)

Step-by-step explanation:

BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week?

Answers

Answer:

1102.5 pounds of apples will be sold in a week.

Step-by-step explanation:

Amount of apples in each bag = 3.5 pounds

If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45

                                                                                        = 157.5 pounds

Number of days in a week = 7

Amount of apples sold in one week = Apples sold in a day × Number of days in a week

Amount of apples sold in 7 days = 157.5 × 7

                                                      = 1102.5 pounds

Therefore, amount of apples sold in a week = 1102.5 pounds

Answer:

1102.5 pounds

Step-by-step explanation:

Problem
Justin's rice ball recipe uses 100100100 grams of rice to make 111 rice ball. Justin has 700700700 grams of rice.
How many rice balls can Justin make with 700700700 grams of rice?
rice balls

Answers

Answer:

777

join my zoom meeting no audio no camera just chat

Step-by-step explanation:

Pass code: G0qkw3

ID: 448251

Numeric Passcode: 756933

Answer:

777 rice balls

Step-by-step explanation:

HELP I DONT HAVE MUCH TIME

Answers

Answer:

10 miles, 6 inches

Step-by-step explanation:

2.5 x 10

15/2.5

i'm in a math test and i need help what is 1 + 1

Answers

21 trust me, my iq is like 21212121212121

Is 123456789098765432172 is divisible by 18?

Answers

Answer:

123456789098765432172 is NOT divisible by 18. When it is divided out you are left with a decimal! :)

Step-by-step explanation:

How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.

ANSWER PLS
thank you so much!

Answers

beep and peeb and bee and pee

Answer:

6

Step-by-step explanation:

the one E doesn't count so 3! is 3*2*1 which is 6

PLZ MARK ME BRAINLIEST

On January 3rd, the Earth is 147,500,000 kilometers away from the Sun. On July 4th, the Earth is 152,500,000 kilometers away from the Sun. The sun has a radius of about 865,000 kilometers.

Could the Earth’s orbit be a circle with some point in the Sun as its center? Explain your reasoning

Answers

Answer:

no

Step-by-step explanation:

yes

I NEED HELP ITS URGENT!!! I WILL MARK BRAINLIST!! LOOK AT THE IMAGE ABOVE AND DO BOTH PROBLEMS BY SHOWING THE ENTIRE WORK!!

Do NOT answer if you DONT know. This could lead to serious consequences. Ex: “idk” could lead to the monitor marking you to loose points.

PLEASE HELP

Answers

Figure 1:
x+120=180.
x=180-120
x=60


Figure 2:
a+73=180(linear pair)
a=180-73
a=103


a+x=180(alternate interior angle)
103+x=180
x=180-103
x=77

Answer:

okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17

explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry  :(

TIME REMAINING 01:37:16 Absalom states that 0 is a rational number. Which is a correct explanation for this statement? The number 0 is a whole number, which is part of the rational numbers. The number 0 is the center of the number line. The number 0 is a natural number, which is part of the rational numbers. The number 0 cannot be written as a fraction.

Answers

Answer:

The number 0 is a whole number, which is part of the rational numbers, is correct.

Step-by-step explanation:

Absalom states that 0 is a rational number.

As the whole numbers are 0,1,2,3,... which is starting from 0, so the stated number 0 is a part of the whole number.

As all the whole number are rational numbers, so 0 is a rational number

Hence, the explanation (i) which is,

The number 0 is a whole number, which is part of the rational numbers, is correct.

The naturals numbers are 1,2,3,... which starts from 1, so 0 is not a part of the natural number, and the number 0 can be written as a fraction like [tex]0=\frac {0}{1}[/tex].

Hence, statement (ii) The number 0 is a natural number, which is part of the rational numbers as well as the statement (iii) The number 0 cannot be written as a fraction, are wrong.

Answer:

The number 0 is a whole number, which is part of the rational numbers.

Step-by-step explanation:

which of these numbers has the most factors? 6:
17:
25:
36:

Answers

Answer:

36

Step-by-step explanation:

36 is correct answer.

Solve.
3(x-4) = -3
How do i slove this

Answers

Answer:

[tex]3(x - 4) = - 3 \\ 3x + 12 = - 3 \\ 3x = - 15 \\ x = - 5[/tex]

Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.

Answer:

You need to do the Distributive Property. This means multiplying the number outside the parenthesis to each number inside.

Step-by-step explanation:

3(x)=3x

3(-4)=-12

3x+-12=-3

then evaluate using inverse operations to get x=3

2 (x-1 ) = x + 4 find x

Answers

Answer:

the answer it's x=6 i think

Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.

Answers

Answer:

x = 28

Step-by-step explanation:

Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.

Thus,

<AOD = <BOC

<AOD = 152°

<BOC = 3x + x + (x + 12) (angle addition postulate)

<BOC = 5x + 12

Since <AOD = <BOC, therefore,

152° = 5x + 12 (substitution)

152 - 12 = 5x (subtraction property of equality)

140 = 5x

140/5 = x (division property of equality)

28 = x

x = 28

¡¡ANSWER MY QUESTION FIRST¡¡

Can you help me with these questions, please?

Answers

Answer:

∠5 = 70°

∠8 = 130°

Step-by-step explanation:

Since ∠5 and ∠1 are equal they will both equal 70°

Since ∠6 and ∠8 are also equal they will both equal 130°

Hope this helps

Plz mark brainliest

I have to do the “got it”!!! Please help

Answers

Answer:

Substitute

Step-by-step explanation:

Answer:

JKM = 36

Step-by-step explanation:

JKL = 72

KM bisects JKL - cuts into two equal parts

72 / 2 = 36

JKM = 36

Please let me know if I'm wrong!

Which one?
A. B. C. or D? ​

Answers

Answer:

b

Step-by-step explanation:

because b sounds like it lol

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