Line Tangent to a Parabola

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box so that the line is tangent to the parabola.

Hint

Set the functions equal to each other. When solving this equation, the discriminant must be 0.

Answer

One possible answer:
y=x^2+6x+7
y=2x+3

Source: Erin Stenger

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