Consider the quadratic function y = 1/5 (x – 2)2 + 5. Which statements are true about the function and its graph? Check all that apply. 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:There are no real roots for the function.  TRUEThe graph contains the point (2, 5). TRUEStep-by-step explanation:For the quadratic function [tex]y = \frac{1}{5}(x-2)^2 + 5[/tex] it has vertex (2, 5). Its graph is attached. Since it opens up above the x-axis, it has no x-intercepts and therefore no real roots.The following are true or false:The vertex of the function is (–2, 5).  FALSEThere are no real roots for the function.  TRUEThe graph of the function opens down.  FALSEThe graph contains the point (2, 5). TRUEThe graph intersects the x-axis at one unique point. FALSE