Describe the given translation as it relates to the graph of the parent function. y=x+2

Question

Describe the given translation as it relates to the graph of the parent function.

y=x+2

Translation of the graph of y=x= Select Choice 2 units.

Choices: Right, left, up, down

Answer 1

There are two correct answers. This is a shift of 2 units up or 2 units left.

Try x=0. y=x is y=0. y= x+2 = y = 2. That's 2 units up.

However, it's also two units left.

y=x has the value y=2 when x=2.

y=x+2 has the value y=2 when x=0, so 2 units earlier, or shifted 2 units left.

y = (x +/- h) +/- k

That's a shift h units left for positive and right for negative.

That's a shift of k up for positive and down for negative.

y = x+2 is that y = (x+2) + 0 or y = (x+0) + 2? Both are the same.

Answer 2

This is a vertical translation, so it would be 2 units up.

If you graph the equation y=x you notice it goes through the point (0,0). If you then graph y=x+2, you will see the new y intercept is (0,2), confirming the shift 2 units up.