If y=3x+1 were changed to y=x+1 how would the graph of the new function compare with the original?

1 answer:

5 0

F(x)=3x+1 (preimage)
g(x)=x+1 (image)
it is undergoing a reduction/compression with translation.
In general, a linear transformation is
g(x) = a*f(bx-h)+k
h=horizontal translation (right if h>0, left if h<0, note formula has minus sign)
k=vertical translation (up if k>0, down if k<0)
a=vertical stretching, (stretching if |a|>1, compression if |a|<1, also, if a<0, a reflection across the x-axis is performed)
b=horizontal stretching (|b|>0 compression, |b|<0 stretching, also, if b<0, a reflection across the y-axis is performed)

In this case,
g(x)=f(x/3), so it is a horizontal stretching.
Note that the y-intercept remains unchanged.

You might be interested in

The front of a box is a square with an area of 175 square units. What would be the best represents S, the length of the edge of

alexira [117]

Answer:

13.2

Step-by-step explanation:

√175 ≈ 13.2 . . . units

The area of a square is the square of the edge length. Hence, the edge length is the square root of the area.

3 0

3 years ago

Which graph represents as a function of length of the trip

Sav [38]

Do you have a picture to go with it?

3 0

3 years ago

Find the slope of the line passing through each of the following pairs of points.

BARSIC [14]

Look carefully at the first pair: (−3, 9), (−3, −5) Note that x does not change, tho' y does. This is how we recognize a vertical line (whose slope is undefined). The equation of this vertical line is x = -3.

Looking at the second pair: from (3,4) to (5,6), x increases by 2 and y by 2; thus, the slope is m = rise/run = 2/2 = 1.

Third pair: as was the case with the first pair, x does not change here, and thus the equation of this (vertical) line is x=0 (which is the y-axis). The slope is undefined.

5 0

3 years ago

One leg of a right triangle is 4 less than the other leg. The square of the hypotenuse of the right triangle is 80. How long are

Hitman42 [59]

I hope this helps you

6 0

3 years ago

- Draw a line AB 8 cm long. What is the locus of a point C such that the angle ACB is always a right angle?

bagirrra123 [75]

Answer:

1)Air transportation:Air Transportation

Transportation mode

Air transportation means the business of transporting natural persons, property, cargo and mail by aircraft. ... Air transportation means the operation of a transportation system by aircraft for the carriage of persons, property and mail, including activities reasonably necessary to such operation.

2)Road transportation:Road transport or road transportation is a type of transport using roads. Transport on roads can be roughly grouped into the transportation of goods and transportation of people. In many countries licensing requirements and safety regulations ensure a separation of the two industries

3)Rail transportation:Rail transport is a means of transferring passengers and goods on wheeled vehicles running on rails, which are located on tracks. In contrast to road transport, where the vehicles run on a prepared flat surface, rail vehicles are directionally guided by the tracks on which they run.

4)Water transportation:Water transportation is the intentional movement of water over large distances. Methods of transportation fall into three categories: Aqueducts, which include pipelines, canals, tunnels and bridges. ... Towing, where a tugboat is used to pull an iceberg or a large water bag along behind it.

5 0

2 years ago