y=x^2 and y=(x-1)^2+5

Question

determine the domain and range then state the intervals

Answer 1

Domain is values for x and range is value for y.

Table:

x         y   The vortex is located at (0,0), is a parabola opening upward, the domain (x) are all the real numbers

-2       4    The Range (y) are all the positive numbers beginning at Zero up to infinity.

-1       1

0         0

1         1

2         4

In the second equation, the vortex is located at (1,5), is a parabola opening upwards and the domain is all the real numbers. The range is all the real numbers positive and greater than 5