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rachelblanchette
rachelblanchette rachelblanchette
  • 11-01-2017
  • Mathematics
Answered

A parabola has a line of symmetry x = -5. The minimum value of the quadratic function that it represents is -7. Find a possible equation of this parabola and explain how you found it.

Verified Answer :

LammettHash
LammettHash LammettHash
  • 11-01-2017

The given information tells you that the vertex of the parabola is \((-5,-7)\). Since this vertex is a minimum, the parabola opens upward, so you can represent it as

\(y=a(x+5)^2-7\)

where \(a\) is any positive number.

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