The graph of f(x) = x2 was transformed to create a graph g(x) =f(x)−6.

Which statement about the graphs is true?

A) The vertex of the graph of g is 6 units above the vertex of the graph of f.

B) The vertex of the graph of g is 6 units to the right of the vertex of the graph of f.

C) The vertex of the graph of g is 6 units to the left of the vertex of the graph of f.

D) The vertex of the graph of g is 6 units below the vertex of the graph of f.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

Option D is correct. The vertex of the graph of g is 6 units below the vertex of the graph of f.

What is intercept?

The equation y = mx + c is the general equation of any straight line  where m is the slope of the line and c is the y-intercept.

According to the question we have

[tex]f(x) = x^{2} \\g(x) = f(x)-6[/tex]

From the above function it is clear that the equation for the graph of g(x) will be

[tex]g(x) = x^{2} -6[/tex]

Since, the y intercept of function f(x) is zero, therefore the function g(x), 6 units below the intercept of the function f(x).

Hence, option D is correct. The vertex of the graph of g is 6 units below the vertex of the graph of f.

Learn more about intercept here:

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Related Questions

The cost of 7 scarves is $47.25. What is the unit price?
The unit price is
per scarf.

Answers

Answer:

$6.75

Step-by-step explanation:

To find the unit price, just divide the total price ($47.25) by the quantity (7).

[tex]\frac{47.25}{7} = 6.75[/tex]

find the values of x and y in the figure ​

Answers

[tex] \frac{5}{y} = \frac{5 + 3 }{y + x} [/tex]

[tex]5(y + x) = y( 5 + 3)[/tex]

[tex]5y + 5x = 8y[/tex]

[tex]5x = 8y - 5y[/tex]

[tex]5x = 3y[/tex]

[tex] \frac{x}{y} = \frac{3}{5} [/tex]

[tex]x = 3[/tex]

[tex]y = 5[/tex]

Help please URGENT!!! I give brainliest

Answers

Answer:

question 5 is choice c

question 6:

conditional statement:

              if it is a fish then it lives in water

                           true

converse statement:

              if it lives in water it is a fish

                           false

Explanation:

Law of Contrapositives:

The law of contraposition says that a conditional statement is true if, and only if, its contrapositive is true.

that applies to question 5 therefore it is c

Hope this helps! <3

z/-6 + 5= 30 help plz

Answers

Answer:

Z= -150

Step-by-step explanation:

Z= -150 hope this helps

7. Find the slope. Make sure to reduce.

Answers

-1/7 is the answer i thibk

Answer:

1/7   and if you reduce its still 1/7

Step-by-step explanation:

Establece el producto cartesiano;representa en diagrama sagital y plano cartesiano M={a,b,c} N={4,8,12} ayuda​

Answers

Answer:

-30

Step-by-step explanation:

The product of M x N is {4a + 8b + 12c}.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are the matrices as -

M = {a, b, c} and N = {4, 8, 12}

We can write the product as -

M x N = {4a + 8b + 12c}

Therefore, the product of M x N is {4a + 8b + 12c}.

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Question in english -

Establishes the cartesian product; represents in sagittal diagram and cartesian plane M={a, b, c} N={4,8,12}

}

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

13

Step-by-step explanation:

A relay race is a mile long and is run by 4-member teams. If each team member runs the same distance, what fraction of a mile does each team member run? ​

Answers

4 divided by 1 Ewqila

Answer:

Each person would run:

5280 - feet

1609.34 - Meters

1.60933999997549 - kilometers

160933.999997549 - centimeters

1759.9956255200022497 - yards

Step-by-step explanation:

Joshua randomly selects a vehicle to test drive. There are 12 cars, 9 trucks, and 4 vans on the lot. What is the probability Joshua selects a truck to test drive?

Answers

Step-by-step explanation:

The number of vehicles is 25 and the no. of truck is 9 so the probability is 9/25

What is the nth term of this sequence?
5.8, 7.1, 8.4, 9.7, 11,
, ...
A
B
1.3n - 4.5
1.3n + 5.8
1.3n + 4.5
n + 1.3
Eedi 2018​

Answers

Answer:

D, you simply just add 1.3 each time.

Answer:

d

Step-by-step explanation:

Consider the following equation.

x – 0.32x = 0.68x

Which of the following statements matches the mathematical equations?

Question 5 options:

a) Decrease a number by 0.32 is the same as multiplying by 0.68.


b) Decrease a number by 32% is the same as increasing by 68%.


c) Decrease a number by 0.32 is the same as multiplying by 0.32.


d) Decrease a number by 32% is the same as multiplying by 68%.

Answers

Answer:

d) Decrease a number by 32% is the same as multiplying by 68%

Step-by-step explanation:

Given equation:

x - 0.32x = 0.68x

Options (4 of them given)

a) Decrease a number by 0.32 is the same as multiplying by 0.68.

x - 0.32 = 0.68x  ⇒ 0.32x = 0.32Incorrect

b) Decrease a number by 32% is the same as increasing by 68%.

x - 32% = x + 68% ⇒ 0 = 100%Incorrect

c) Decrease a number by 0.32 is the same as multiplying by 0.32.

x - 0.32 = 0.32x ⇒ 0.68x = 0.32Incorrect

d) Decrease a number by 32% is the same as multiplying by 68%

x - 32% = 0.68x ⇒ x - 0.32x = 0.68x ⇒ 0.68x = 0.68xCorrect

identify the constant of proportionality

2/3
3/2
3
6​

Answers

The constant of proportionality is 3/2.

help pls! what is the value of x?


Answers

The X is equal to 3
The answer would be 5 love. Hope this helped

PLEASE HELP::::::: Triangle PQR has medians QM and PN that intersect at Z. If ZM= 4, find QZ and QM

HELP HELP

Answers

Answer:

value of QZ = 8 units and QM =  12 units.

Step-by-step explanation:

Given: In triangle PQR has medians QM and PN that intersect at Z.

If ZM = 4 units.

In the figure given below;  second median divided the two triangles formed by the first median in the ratio 2:1.

We have to find the value of QZ and QM;

QZ:ZM = 2: 1

Substitute the value of ZM =4 units and solve for QZ;

Multiply both sides by 4 we get;

Now, calculate QM;

QM = QZ+ZM = 8 + 4 = 12 units.

Therefore, the value of QZ and QM are; 8 units and 12 units

3. Using the distributive property, write an equivalent expression. *
(5 Points)
8(3x - 5)

Answers

Answer:

24x - 40

Step-by-step explanation:

8 x 3 = 24

8 x 5 = 40

24x - 40

answer: 24x - 40


explanation

A farm lets you pick 2 pounds of blueberries for 5 dollars.

1. the unit rate of dollars to pounds is ___ dollars per 1 pound

2. the unit rate of pounds to dollars is ___ pounds per 1 dollar

Answers

Answer:

1. $2.50

2. 2/5lb

Step-by-step explanation:

1. 2lbs=$5.00 so that means 1lb=$2.50.

2. 1lb=$2.50 so that means 1/5lb=$0.50 which you can then conclude that 2/5lb=$1.00

Which equation is NOT equivalent to p- 7 = 22? Select all that apply.
A. p-p-7 = 22-p
B. p-7-p = 22 -
C. p - 7 + 22 = 22 - 7
O
D. p - 7 + 7 = 22 - 22
Ep-7 + 7 = 22 +7

Answers

Answer:

c and d

Step-by-step explanation:

i hope this help

Use the figure to complete the proportion

Answers

Answer:

b

Step-by-step explanation:

Completa cada espacio con un signo mayor o menor..

• 6,348 ___________ 6,35
• 0,095 __________ 0,2
• –1,21 ___________ –1,1
• - 10,75 ___________ 10,585

Answers

Answer:

Fill in each space with a major or minor sign.

• 6.348 ____<_______ 6.35

• 0.095 _____<_____ 0.2

• –1.21 _____<______ –1.1

• - 10.75 _______<____ 10.585

A pond has 150 fish initially, and the population decreases by 8% each day.
Which equation represents this situation?

Answers

Answer: not sure.. i got 18.75 so i dont rly know if 18 daily or 19if 19 fish daily then the last day would have 5 left

Step-by-step explanation:

The following are the ages (years) of 5 people in a room:
13, 12, 13, 15, 12
A person enters the room.
The mean age of the 6 people is now 20.
What is the age of the person who entered the room?​

Answers

the person who entered the room would be 55 years old.

Find the missing lengths

Answers

Answer:

5 root 2 for both

Step-by-step explanation:

y=x= 10/root two

= 5 root 2

if my answer helps please mark as brainliest.

Answer:

x = 5*sqrt(2)

y = 5*sqrt(2)

Step-by-step explanation:

Because the triangle is a 45-45-90 triangle, 10 is equal to x * sqrt(2) and x = y.

x = 10 / sqrt(2)

When simplified:

10 / sqrt(2) = (10 * sqrt(2))  / 2 = 5 * sqrt(2)

Find the y-intercept and write as a point (x, y)​

Answers

Answer:

(0,3)

Step-by-step explanation:

Answer:

The two points- (0,3) (-2,-1)

The y-intercept is (0,3)

The slope is 2

HELP
What is the solution to the graph of the system

Answers

Answer:

(0,4)

Step-by-step explanation:

How many irrational numbers are there between 1 and 6 ?
1


3


4


10


Infinitely many

Answers

Answer:

The answer is Infinitely many

There are infinite irrational numbers between any pair of numbers, including between 1 and 6.

I need help with this

Answers

Answer:

B

Step-by-step explanation:

It's B

3^5 = 243

so the 5th root of 243 is 3

(x^7)^(1/5) = x^(7/5)

(y^10)^(1/5) = 7 ^(10/5) = 7^2

z^(21)^(1/5) = z^(21/5)

Find x to the nearest tenth. Please help if I don’t pass this I fail the class!!

Answers

Answer:

original is : 14.281

rounded is: 14.3

Step-by-step explanation:

(x+30 degrees) +(45 degrees)

Answers

Answer:

30x + 45

Step-by-step explanation:

Answer:

30x+45°

Step-by-step explanation:

A number cube is rolled 24 times and the results are recorded as follows: 2 ones, 4 twos, 7 threes, 4 fours, 3 fives, and 4 sixes. What is the experimental probability of rolling a number greater than 5?

Answers

I would say the answer would be 29.17% because [tex]\frac{7}{24}[/tex]=29.17%

Hope this helps

I'm so sorry if this is wrong

have a great day/night

(urgent please help!!!!)in computing the mean of 8 numbers, a student mistakenly used 17 instead of 25 as one of the numbers and obtained 20 as the mean. find the correct mean.

Answers

i believe the correct mean is 21!

Answer: 21

Step-by-step explanation:

The student's mean of the 8 numbers is 20; the total of the numbers will be

8 x 20 = 160

If we take out the 17 the  total will be 160 - 17 = 143

If we then replace the 17 with 25 the total rises to 168.

168 divided by 8 = 21

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