Question

If the equation y = x + 4 is changed to y = x - 2, how will the graph of the equation change?

A) The original graph will shift 2 units down.
B) The original graph will shift 6 units down.
C) The original graph will shift 6 units to the left.
D) The original graph will shift 2 units to the left.

Answer 1

B ,, the slope is the same , 4-(-2) = 6

Answer 2

The original graph will shift 6 units down.

Explanation:

Given : If the equation y = x + 4 is changed to y = x - 2.

To find : How will the graph of the equation change.

Solution : We have given

Original graph equation : y = x + 4.

Transformed equation : y = x -2.

y = x + 4 →→ y = x - 2.

If we subtract the 6 from 4 it become - 2

We can see x + 4 -6 = x -2 .

So , y = x +4 -6 →→ y = x - 2.

By the transformation rule : f(x) →→ f(x) - k it mean graph shifted down by k units.

Then the original graph will shift 6 units down.

Therefore, The original graph will shift 6 units down.