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Linear and quadratic systems: foundations

Problem

In the 'x''y'-plane, a downward facing parabola has vertex (3,5) and 'y'-intercepts at slightly less than negative 5 and slightly more than negative 1. The parabola also appears to pass through the points (5,1) and (2,4). A line is shown that appears to pass through those same two points.
The system of equations represented by the graph in the xy-plane is:
y=(x+3)2+5y=x+6
If (5,b) is a solution to the system, then what is the value of b ?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

How do I enter a student-produced response on the SAT?