Mathematics High School

The function f is given by f(x) = (x + 3)^2 - 1.
1) Write the coordinates of the vertex of the graph of f.
2) Does the graph open up or down? How do you know?

Answers

Answer 1

Answer:

the coordinate of the vertex is going to be (-3,-1) and it's concave up

Step-by-step explanation:

1.notice this function is in graphing form (x-h)^2+k, where (h,k) is your coordinate of the vertex, hence in this problem it's going to be (-3,-1)

2. notice that this function have a parent function of x^2, where it's a parabola that is concave up which in this case is basiclly the same shape it's also concave up

In calculus, we can proof it by finding the first derivatives and find the critical points, then take the second derivative at that critical points to see if that's negative or positive in this case it's positive

Related Questions


Which of the following is NOT a solution to the
inequality |-3x + 3) > 6?
A. -4
B. -3
C. -2
D. 3
E. 4.

Answers

Answer:

B

Step-by-step explanation:

How do I solve this? ​

Answers

C) 18 minutes
This is because each sparkler takes 2 minutes to burn so 10 * 120 = 1200 seconds, then 120 / 0.10 = 12 (which is the 10th of the 2 minutes) now we do 12 * 10 = 120 to get the cut time from lighting a match after a tenth remained. now since we have that we do 1200 - 120 and get 1080 seconds and that is the total time n seconds of the burning matches, now we convert it to minutes by doing 1080 / 60 and get 18.
hope this is helpful!

Combine the like terms to create an equivalent expression.
large 9p+3p

Answers

Answer:

12p

Step-by-step explanation:

9p+3p=12p

Choose the correct transformation.

Answers

Answer:

A

Step-by-step explanation:

First they flipped it, then they slid it.

17.31 x____=173.1 decimal math

Answers

Answer:

10.

Step-by-step explanation:

In order to find the missing value, we need to divide 173.1, by 17.31:

173.1 / 17.31 = 10

Dividing the product (173.1) by one value in the equation (17.31) can represent what the missing value is, in order for 17.31 to equal 173.1

Check:

17.31 · 10 = 173.1

173.1 / 10 = 17.31

Please help! If you do tysm!!

Answers

Answer:

32 days

Step-by-step explanation:

5 divided by 2 is 2.5, which means 2.5 gallons will leak per day. 80 divided by 2.5 is 32 which means it will take 32 days for the bucket to completely leak out.

hope that's right <3

9 unit percent change is 23, what is the 19th unit percent cahnge?

Answers

Answer:

42.40705%

Step-by-step explanation:

(1 - (23/100)^(19/9) = 1 + r/100

0.57593 = 1 + r/100

r = 42.40705%

The sporting goods store with 30% off all items . If a skateboard is normally $70 , what would be the approximate sale price of the skateboard

Answers

Answer:

$49

Step-by-step explanation:

70 x 30%

70 x 0.3

21

70 - 21

49

what is the slop of 2x-5y=10

Answers

Answer:

2/5

Step-by-step explanation:

Subtract 2x from both sides

-5y = -2x + 10

Divide both sides by -5

y = 2/5 x -2

The slope is 2/5.

The answer is 2/5

Subtract 2x from both sides

Then divide by -5.

Andrew is half his brother's age. Three years ago, the sum of their ages was 24. How old are they each now? Please answer Fast.

Answers

Answer:

Andrew 10 and his brother 20 years old

Step-by-step explanation:

three years ago

7 and 17  add up to 24

Hope this helps

The graphs below have the same shape. What is the equation of the graph of gx)?
A. g(x) = (x+4)2
B. g(x) = x2 - 4
C. g(x) = x2 + 4
D. g(x) = (x - 4)
NO LINKS YOU BOTS

Answers

Answer:

the answer should be A Hope this helps!


A basket contains four apples, three pears, two peaches, if we draw one fruit from the basket, what is the probability of getting a peach or an apple?

Answers

Answer:

The probability of getting a peach or an apple is 2/3.

Step-by-step explanation:

There are two peaches and four apples, so six fruits we want to know the probability of getting, and there are also three pears, which means we have nine fruits total. The chance of getting an apple or a pear is six out of nine, which simplifies to two out of three.

Wesley Snipes earns a monthly salary of $1,685, plus a 8.5% commission on all sales over $2,000 each month. This month, his sales were $6,250. What was his total
income for the month?
$2,224.50
$2,175.80
$2,112.90
$2,046.25
None of these choices are correct

Answers

Answer:

none of theses choices. wesley makes $2185 this month

Step-by-step explanation:

Edward deposited ​$6,000 into a savings account 5 years ago. The simple interest rate is 4​%. How much money did Edward earn in​ interest? Need answer in under 10 minutes

Answers

Answer:

,..................... 6000*12*5 %4 =630

Answer:

6240

Step-by-step explanation:

It's it 6,000+4% it's = 6240

Cube root -125 over 216

Answers

The answer is 0.023.
Hope this helps

Figure A is a scale image of Figure B.
30
2
Figure A
25
Figure B
10
What is the value of x?

Answers

Answer:

12

Because:

30 is to 25 as x is to 10.

As an equation: 30/25 = x/10

Do this equation by: look at image

Help me plzz tell me the answer I’m so confused

Answers

Answer:

A=250

Step-by-step explanation:

A/5=50

take 5 to other side

the number in division came in multiplication after changing it's side. that's why,

A=50×5

A=250

Hope it helps you ❤️❤️

This is a function?

O True
O False

Answers

Answer:

true

Step-by-step explanation:im not really sure

What is 6 percent of 200 plz show your work

Answers

Answer: 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

200 * 0.06 = 12

How many centimeters in 3.9 meters?

Answers

Step-by-step explanation:

hope this help you ......

390

Explanation:

multiply the length value by 100

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.

Answers

Answer:

13/15

Step-by-step explanation:

15 is the least common denominator,

so 1/5 = 3/15

2/3 = 10/15

3/15 + 10/15 = 13/15

It can't be reduced.

Answer:

Step-by-step explanation:

The lowest common multiple of these 2 denominators is 3 * 5 since 3 and 5 are prime to each other. (They share no common factor.)

1/5 * 3/3 = 3/15

2/3 * 5/5 = 10/15

3/15 + 10/15 = 13 / 15

7.098/09.977x979.97878

Answers

Answer:

697.19248074 is the answer

100 students are interviewed to see which of biology chemistry or physics , they prefer 30 students are girls 16 of the girls like biology 9 of the boys prefer physics 2 out of the 34 who prefer physics are girls what percentage prefer biology
​

Answers

Well, it says that 34 kids like physics and since there is 100 students, we know 34% of the kids like physics. This means 66% like biology.

find the value of x ​

Answers

Can you give more details and whats the equation?

Could anyone help out? It's 11pm and I have finals tmrw :/

For the given polynomial P(x) and the given c, use the remainder theorem to find P(c). 3 P(x) = 5x? - 2x2 – 3x+ 3; - 4​

Answers

There i hope it help

Stay safe and study hard

Find the coordinates of the point 7/10 of the way from A to B

Answers

Answer:

D = (9,4) - (-4, -7) = (13,11)   where D is length of line between A and B

.7 D = (9.1, 7.7)       since .7 * 13 = 9.1     and .7 * 11 = 7.7

Thus we merely need to add these amounts to point A

(-4, -7) + (9.1, 7.7) = (5.1, .7)    for the final coordinates

complete the sentence to explain how to multiply 4.56x1000

Answers

The answer is 4,560

4.56 X 1000

will mark brainleist

Answers

Answer:

atoc40 /atob40/ctob20

i hope i help

Answer:

67

Step-by-step explanation:

angle c = angle b = 5x + 4

angle a = 46

A + B + C = 180

46 + 10x + 8 = 180

10x = 180 - 54

10x = 126

x = 12.6

5x + 4 = 12.6 x 5 + 4

= 67

what is the ratio of 9 boys and 6 girls in a class of 15 students

Answers

Answer:

3:2 i believe

Step-by-step explanation:

9:6

divide by 3

3:2

_ ➗ 9 = 7

Find the missing number

Answers

Answer:

Hi the answer is x=63

x/9=7

multiply both sides by 9

(x/9)*(9)=(7)*(9)

therefore 63 is the missing number

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