To graph the function ​f(x)equals=left parenthesis x minus 5 right parenthesis squared minus 8(x−5)2−8​, a student translates the graph of the parent quadratic function 5 units right and 8 units down. Can a student produce the graph of ​f(x)equals=2 left parenthesis x plus 3 right parenthesis squared minus 52(x+3)2−5 by simply translating the quadratic parent​ function? Explain.