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Georgia Milestones Algebra quadratic functions and equations quiz quiz

12questions. Pick an answer and you'll see why right away.

  1. For f(x)=x2βˆ’6x+5f(x) = x^2 - 6x + 5, what is the axis of symmetry?

  2. The parabola f(x)=βˆ’2x2+8xβˆ’3f(x) = -2x^2 + 8x - 3 opens which way and has what kind of vertex?

  3. The function g(x)=(xβˆ’4)2+3g(x) = (x - 4)^2 + 3 has what vertex?

  4. Which describes the transformation from f(x)=x2f(x) = x^2 to g(x)=(x+5)2g(x) = (x + 5)^2?

  5. Solve x2+2xβˆ’15=0x^2 + 2x - 15 = 0 by factoring.

  6. Before factoring, what must you do to x2+5x=24x^2 + 5x = 24?

  7. What are the solutions to (xβˆ’2)2=49(x - 2)^2 = 49?

  8. When completing the square for x2+6x=2x^2 + 6x = 2, what do you add to both sides?

  9. Solve 2x2+4xβˆ’3=02x^2 + 4x - 3 = 0 using the quadratic formula (simplest radical form).

  10. How many real solutions does x2+2x+5=0x^2 + 2x + 5 = 0 have?

  11. A ball's height is h(t)=βˆ’16t2+32t+4h(t) = -16t^2 + 32t + 4. At what time is the maximum height reached?

  12. A rectangular garden is 4 feet longer than wide with an area of 45 square feet. What is the width?