Algebra 2 Project

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Across
  1. 3. The square root of -1, denoted i=-1
  2. 4. A set of three equations of the form ax+by+cz=d, where x, y, and z are variables and a, b, and c are not all zero
  3. 5. A number written in the form a+bi, where a and b are real numbers and b0
  4. 6. An inequality of the form ax2+bx+c<0,ax2+bx+c >0, yax2+bx+c, or yax2+bx+c, where a, b, and c are real numbers and a0
  5. 8. An inequality of the form ax2+bx+c<0,ax2+bx+c >0,ax2+bx+c0, or ax2+bx+c0, where a, b, and c are real numbers and a0
  6. 9. A line that lies as close as possible to all of the data points in a scatter plot
  7. 13. A fixed line perpendicular to the axis of symmetry, such that the set of all points (x,y) of the parabola are equidistant from the focus and the directrix
  8. 16. A quadratic function written in the form f(x)=a(x-p)(x-q), where a0
  9. 17. To add a term c to an expression of the form x2+bx+c is a perfect square trinomial
  10. 18. The most basic function in a family of functions
  11. 19. A solution of an equation
  12. 22. A line that models data in a scatter plot
  13. 23. A transformation that shifts a graph horizontally and/or vertically but does not change its size, shape, or orientation
  14. 31. An ordered triple (x, y,z) whose coordinates make each equation true
  15. 36. A transformation that causes the graph of a function to shrink toward the y-axis when all the x-coordinates are multiplied by a factor a, where a>1
  16. 37. A function that can be written in the form f(x)=a(x-h)2+k, where a0
  17. 39. An equation that can be written in the standard form ax2+bx+c=0, where a, b, and c are real numbers and a0
Down
  1. 1. A number written in the form a+bi, where a=0 and b0
  2. 2. The y-coordinate of the vertex of the quadratic function f(x)= ax2+bx+c, where a<0
  3. 7. The solutions of the quadratic equation ax2+bx+c=0 are x=-b b2-4ac2a, where a, b, and c are real numbers and a0
  4. 10. An equation of the form ax+by+cz=d, where x, y, and z are variables and a, b, and c are not all zero
  5. 11. A change in the size, shape, position, or orientation of a graph
  6. 12. The lowest point on a parabola that opens up or the highest point on a parabola that opens down
  7. 14. A system of equations where at least one of the equations is nonlinear
  8. 15. A transformation that causes the graph of a function to shrink toward the x-axis when all the y-coordinates are multiplied by a factor a, where 0<a<1
  9. 20. A quadratic function written in the form f(x)=ax2+bx+c, where a0
  10. 21. An x-value of a function f for which f(x)=0
  11. 24. A line that divides a parabola into mirror images and passes through the vertex
  12. 25. A number r from -1 to 1 that measures how well a line fits a set of data pairs (x,y)
  13. 26. The y-coordinate of the vertex of the quadratic function f(x)= ax2+bx+c, where a>0
  14. 27. A transformation that causes the graph of a function to stretch away from the x-axis when all the y-coordinates are multiplied by a factor a, where a>1
  15. 28. A transformation that causes the graph of a function to stretch away from the y-axis when all the x-coordinates are multiplied by a factor a, where 0<a<1
  16. 29. A quadratic function written in the form f(x)=a(x-h)2+k, where a0
  17. 30. A transformation that flips a graph over the line of reflection
  18. 32. A solution of a system of three linear equations represented by (x,y,z)
  19. 33. The expression b2-4ac in the Quadratic Formula
  20. 34. A number written in the form a+bi, where a and b are real numbers
  21. 35. A fixed point in the interior of a parabola, such that the set of all points (x,y) of the parabola are equidistant from the focus and the directrix
  22. 38. The U-shaped graph of a quadratic function