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Relationships between Lines & Parabolas

a). Find all the values for ‘m’ that would make y = mx + 4 a tangent to the parabola y= x² + 5. b). Find all the values for ‘m’ that would make y = mx – 3 a tangent to the parabola y= ½x²+x–1. c). Find all the values for ‘m’ that would make y = mx – 3 not intersect with y= ½x² + x – 1.