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

Answer:

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).

Step-by-step 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).