Section 8.7: Review Problems

  1. Solve \( y = x^2 + 5x + 6 \) by factoring.
  2. Find the vertex and axis of symmetry of \( y = -2x^2 + 8x - 3 \).
  3. Determine the maximum height of a projectile: \( h(t) = -4.9t^2 + 19.6t + 1.2 \).
  4. Solve \( x^2 - 7x + 12 = 0 \) using the quadratic formula.
  5. Graph \( y = x^2 - 4x + 3 \) and identify intercepts and vertex.
  6. Area problem: A rectangle with perimeter 24 m. Express area as a quadratic and find max area.
  7. Solve \( -x^2 + 6x - 5 = 0 \) and interpret the solution in context of height.
  8. Revenue: \( R(x) = -3x^2 + 36x \). Find number of items sold for maximum revenue.
  9. Word problem: A ball is thrown upward: \( h(t) = -5t^2 + 20t + 2 \). Find max height and time.
  10. Determine whether \( y = x^2 - 2x + 1 \) has minimum or maximum value and find it.
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