Question

1)
How would the graph of the function y = x2 + 4 be affected if the function were changed to y = x2 + 1?

A The graph would shift 3 units up.
B The graph would shift 3 units down.
C The graph would shift 3 units to the right.
D The graph would shift 3 units to the left.

2)
What is the effect on the graph of the equation y = x2 + 1 when it is changed to y = x2 + 5?

A The slope of the graph changes.
B The curve translates in the positive x direction.
C The graph is congruent, and the vertex of the graph moves up the y-axis.
D The graph narrows.

Answer 1

Hints:
For Q1:
1. Find the y-intercept of y=x^2+4
2. Find the y-intercept of y=x^2+1
3. Plot the two points (found in (1) and (2))
4. See the difference.