This week, we learned how to take a linear equation and quadratic equation and graph them to find a solution and taking 2 quadratics to find the solution.

When presented with two equations, y=-x+2 and y = (x – 4)² – 4, we can graph them to see where they intersect. The intersections will be their solutions.

Their solutions are (2,0) and (5,-3)

If we are given the equation y = (x – 4)² – 4 and y = (x – 6)² – 4, we can graph them to find their solutions.

They have 1 solution that is (5,-3)

Two equations can have 0 solutions if they never touch, 1 solution if they only meet in one spot, 2 solutions if they meet in two spots. They can have infinite solutions if they are the same equation.