All categories

2 years ago

How does the graph of the function g(x) = 2x – 4 differ from the graph of f(x) = 2x

Mathematics

1 answer:

Lena [83]2 years ago

5 0

9514 1404 393

Answer:

the y-intercepts differ

Step-by-step explanation:

The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.

The graphs differ in their intercepts.

<em>Additional comment</em>

g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.

You might be interested in

Can someone help me thanks

Arada [10]

< 1 is supplement to < 2 means that both angles have to add up to 180°.
< 1 = 115°
180° - 115° = 65°
< 2 = 65°
< 2 is complement to < 3 means that both angles have to add up to 90°.
90° - 65° = 25°
< 3 = 25°

Answer:
< 2 - < 3 is 65° - 25° = 40°

6 0

2 years ago

Together three puppies and three adult dogs weight 60 pounds. two adult dogs and four puppies have a combined weight of 50 pound

andrew-mc [135]

Answer: one puppy weighs 5 pounds

Step-by-step explanation:

Let the weight of one puppy be x and the weight of adult dog be y.

Then from the first statement

3x + 3y = 60

Also from the second statement

4x + 2y = 50

combining the two equations together , we have

3x + 3y = 60 ............................... equation 1

4x + 2y = 50 ................................. equation 2

solving the system of linear equation by elimination method , multiply equation 1 by 4 and equation 2 by 3 , we have

12x + 12y = 240 ................................ equation 3

12x + 6y = 150 ....................................... equation 4

subtract equation 4 from equation 3

6y = 90

y = 15

substitute y = 15 into equation 1 to get the value of x.

3x + 3 ( 15 ) = 60

3x + 45 = 60

3x = 60 - 45

3x = 15

x = 5

1 puppy weighs 5 pounds and 1 adult dog weighs 15 pounds

3 0

2 years ago

Write an expression for one more than twice a number

Dmitriy789 [7]

The expression is 2x + 1

5 0

3 years ago

100/a = 25<br> i think its 2500 but I'm not sure

svetoff [14.1K]

Answer:

a=4

Step-by-step explanation:

100/a=25

100/25 =a

a=4

6 0

2 years ago

Lisa started with $50 and saved $15 a week. Which equation describes the growth of her savings with X as the number of weeks and

Alexandra [31]

Answer:

I believe its X=15Y+50

Step-by-step explanation:

7 0

2 years ago