Practice Quiz

SAT Math

Category - Geometry and Measurement

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Which of the following may be theequation of the quadratic function below?
  1. y=x^2-4x+4
  2. y=x^2+4x+4
  3. y=x^2-x+6
  4. y=-x^2-9
  5. y=-x^2-3x+6
Explanation
Answer: C - A possible equation of the quadratic function is y=x^2-x+6. The equation of the function must not have solutions for y=0 and the coefficient of x^2 must be positive.
y=x^2-x+6
a=1andgt;0,b=-1,c=6
x^2-x+6=0
D=b^2-4ac=(-1)^2-4×1×6=1-24=-23andlt;0⟹ no solutions
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