Create a quadratic relation such that the relation passes through point (14,10) and has two identical real roots. Justify your answer graphically and algebraically.

Question

Create a quadratic relation such that the relation passes through the point (14,10) and has two identical real roots. Justify your answer graphically and algebraically.

Answer 1

y = (X-r)^2

10 = (14-r)^2

+or-sqrt(10) = 14-r

r = 14 +or- sqrt(10)