Question

Consider the quadratic function y = 1/5(x - 2)2 + 5.

Which statements are true about the function and its graph? Select two options.
The vertex of the function is (-2,5).
There are no real roots for the function.
The graph of the function opens down.
The graph contains the point (2,5).
The graph intersects the x-axis at one unique point.

Answer 1

Explanation:

There are no real roots and the graph contains point (2,5). Notice it is in vertex form. So there must be a point at x = 2 and y = 5. However, if it is the vertex and it opens upwards, that means it cannot intersect the x axis. So 2 and 4 are the correct answers I believe.

Answer 2

B & D

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