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Quadratic Jeopardy

Quadratic Jeopardy. Solve using Factoring. Solve by Completing the Square. Solve by quadratic formula (3sf):. Solve algebraically. Determine the value(s) of b such that f(x) = 2( π x) 2 + b π x + √8 has 2 solutions. Write an equation with rational coefficients having

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Quadratic Jeopardy

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  1. Quadratic Jeopardy

  2. Solve using Factoring

  3. Solve by Completing the Square

  4. Solve by quadratic formula (3sf):

  5. Solve algebraically

  6. Determine the value(s) of b such that f(x) = 2(πx)2 + bπx + √8 has 2 solutions.

  7. Write an equation with rational coefficients having as one of its roots.

  8. If y = -4kx2 + kx – 1, determine the value(s) of k for which the minimum value of the function is an integer.

  9. The parabola y = ax2 + bx + 1 passes through the point (1,2). For what values of a does the parabola intersect the x-axis at two distinct points? The parabola y = ax2 + bx + 1 passes through the point (1,2). For what values of a does the parabola intersect the x-axis at two distinct points?

  10. Solve the following systemfor m such that there exists only one unique solution

  11. The nonzero roots of the equation 3x2 − 4x + k = 0 are in the ratio 3:1. Determine the roots and the value of k.

  12. Determine the equation in standard form:

  13. Determine the transformations of the parent/base function y = x2 if the equation of the transformed function is now y = 1/3x2 + 4x - K

  14. Given the quadratic function f(x) = -2x2 + 5x – 3, determine the: • domain and range, • vertex & the max/min point & value, • the x-intercepts of f(x) • Sketch

  15. Determine and classify the extrema of f(x) = -2x2 + 6x – 3 on the domain of xE[-5,6]

  16. Determine the minimum value of the function defined by f(x) = a(x – 2)(x – R), where a > 0

  17. Solve 2(2x2 – 3x) < 9

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