Question

If y=x-6 were changed to y=x+8, how would the graph of the new function compare with the first one

Answer 1

the graph would change by shifting 14 places up as the distance from -6 and 8 is 14 units

Answer 2

The equation
`y=x-6` passing through the points (6,0) and (0,-6) but the equation
`y=x+8` passing through the points (-8,0) and (0,8).

Explanation:

We are given that

`y= x-6` change into
`y=x+8`

We have to tell how the graph changed.

`y=x-6` (equation I)

Substitute x=0 then we get

`y=-6`

When substitute y=0 then , we get

`x=6`

The equation y=x-6 cut the x- axis at x=6 and y- axis at y=-6.

`y=x+8` (equation II)

Substitute x=0 then, we get

`y=8`

Substitute y=0 then, we get

`x=-8`

The equation
`y=x+8` cut the x- axis at x=-8 and y- axis at x=8.

The equation
`y=x-6` passing through the points (6,0) and (0,-6) but the equation
`y=x+8` passing through the points (-8,0) and (0,8).