URGENT! I need help!
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Solved by tj_314,
for your second exercise: To find an intersection between two curves means to find all points that belong to curve 1 and curve 2 at the same time. It basically means that you have to solve a system of equations. In your case the two equations are the parabolas you provided. From the second equation, you get y = x^2 + 2. you plug it into the first equation and you get -x^2 + 4x + x^2 + 2 - 2 = 0 which simplifies to 4x = 0 and therefore x = 0. There is only 1 intersection point at x = 0. now, you just calculate y value from any of your two equations. since we already know that y = x^2 + 2, we get y = 2. The intersection is at x=0, y=2.

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