IB Math SL Quadratics

Here you will find original IB Math SL exam style quadratic practice problems. Visit this page directly at hunkim.com/slquadratics

IB Math SL Warm-Up Questions

  1. Sketch y=x^2-4
  2. Sketch y=(x+2)^2
  3. Sketch y=-2(x-1)^2+3
  4. f(x)=(x-2)^2-4
    1. Evaluate f(-1)
    2. Coordinates of the vertex?
    3. Domain?
    4. Range?
    5. Equation of the line of symmetry?
  5. y=2x^2+x-6
    1. Solve by factoring
    2. Solve by using the quadratic formula
    3. Solve by completing the square
  6. Enrichment: Derive the quadratic formula x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}
  7. y=3x^2+2x+1.
    1. Find the value of the discriminant
    2. Hence, how many solutions does this quadratic have?
  8. See f(x) below:
    1. Equation of f(x) in the form ax^2+bx+c?
    2. Domain in which f(x)>16
    3. Describe the transformation for the quadratic to have a repeated root?
  9. Solve x^2<9
  10. Solve x^2\geq 4
  11. Solve a^2\leq5
  12. Solve (3k-1)^2>25
  13. Solve 0>x^2-5x+6
  14. Solve 2x^2-x-3\leq 0

Click below for IB Math SL Quadratics practice problems:

Click here for a more general background with Quadratics.