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