Question

Consider the quadratic equation below Y=2(x-7)^2

A. The equation has one solution and the solution is different from the vertex of the graph of the equation.

B. The equation has one solution and the solution is the same as the vertex of the graph of the equation

C. The equation has two solutions, neither of which is the vertex of the graph of the equation

D. The equation has two solutions one of which is the vertex of the graph of the equation

Answer 1

If a quadratic has one solution only, that solution is the vertex of the graph.

For your equaion, the appropriate selection is ...
B. The equation has one solution and the solution is the same as the vertex of the graph of the equation.

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By "solution", we assume you mean "zero," that is, the solution to y=0. The equation as it stands has an infinite number of (x, y) pairs that will satisfy the equation.