Mathematics for IGCSE & O level - Graphs Of Functions (Section 3 - No. 24)
What is the range of the function y = (x - 2)² + 3?
y ≥ 2
y ≥ 3
x ≥ 2
All real numbers
Explanation
(x-2)² is always non-negative; adding 3 shifts the vertex up to (2, 3), so the range is y ≥ 3.
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