<PRE><B>Question 1047672</B>
All real numbers for x will give a RANGE of real numbers for y.  The equation has a restriction for its RANGE.  Range is all values greater than the y-coordinate of the vertex.


{{{y=5(x^2+(7/5)x+11/5)}}}


{{{5(x^2+(7/5)x+(7/10)^2+11/5-(7/10)^2)}}}


{{{5((x+7/10)^2+11/5-(7/10)^2)}}}


{{{5((x+7/10)^2+220/100-49/100)}}}


{{{5((x+7/10)^2+171/100)}}}


{{{y=5(x+7/10)^2+171/20}}}, Square completed, now in standard form.
The range is all real numbers greater than or equal to {{{171/20}}}.</PRE>