PLEASE explain domain and range to me

1. x ≥ 0 & y ≥ 0 .   2. x ≥ 2   y ≥ 3  

Step-by-step explanation:

Domain: All input values on the x - axis, also known as the x - coordinate

Range: All output values on the y - axis, this is also the y - coordinate of a point

When writing the domain and range find out if the parabola is opening upwards (x ≥ 0) or if it is opening downwards (x ≤ 0). Additionally look at what the vertex is.

1. x ≥ 0 & y ≥ 0

2. Find the vertex to find domain and range. First find a, b, and c

a = 1   b = -4   c = 7

Next find the x - coordinate by using the formula -b/2a

-(-4)/2(1) (2)

Now find the y - coordinate by plugging in 2 for x in x^2 -  4x + 7

2^2 - 4(2) + 7 (3)

(2, 3)

x ≥ 2

y ≥ 3