Question

41. How would the graph of the function

y=x2- 3 be affected if the function were
changed to y=x2 + 2?
A. The graph would shift 2 units up.
B. The graph would shift 5 units up.
C. The graph would shift 5 units down.
D. The graph would shift 1 unit up,

Answer 1

B. The graph would shift 5 units up.

Explanation:

Before the change:

Before the change, the function was given by:

`y = x^2 - 3`

After the change:

After the change, the function was given by:

`y = x^2 + 2`

Considering the function as it was before the change, it can also be written as:

`y = x^2 - 3 + 5`

Which means that 5 was added to the function, and when a number n is added to a function, there function is shifted n units up. So the correct answer to this problem is given by option B.