Kiran graphed the equation y = x² + 1 and noticed that the vertex is at (0, 1). [br]He changed the equation to y = (x - 3)² + 1 and saw that the graph shifted 3 units to the right and the vertex is now at (3, 1).[br] [br]Next, he graphed the equation y = x²+ 2x + 1, observed that the vertex is at (-1, 0). [br]Kiran thought, “If I change the squared term x² to (x - 5)², the graph will move 5 units to the right and the vertex will be at (4, 0).”[br][br]Do you agree with Kiran? Explain or show your reasoning.
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[/img][br][img]data:image/png;base64,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[/img]