Question 1: Find the vertex of the parabola f(x) = x^{2} - 4x + 4. (2, 0) (4, 0) (2, -2) (1, -1) Question 2: Find the vertex of the parabola f(x) = -x^{2} - 4x + 1 . (0, 5) (2, 4) (-2, 5) (-2, -4) Question 3: Find the minimum value of the parabola f(x) = 3x^{2} - 6x + 5. -2 2 0 -6 Question 4: Find the maximum value of the parabola f(x) = -x^{2} - 2x + 9. -1 3 7 10 Question 5: Find a quadratic parabola which has its vertex at the point (0,-4) and which passes through the point (-2,0). 2x^{2} - 4x x^{2} - 4 x^{2} - 4x + 4 x^{2} + 2x + 2 Questions 6-7: Find the minimum value of the function f(x) = x^{4} - 18x^{2} + 90, and find the values of x for which f(x) is a minimum. Minimum value: 3.5 7 8.5 9 Values of x for which f(x) is a minimum: x = -3 and x = 3 x = 0 x = -2 and x = 2 x = -1 and x = 1 Question 8: Find a quadratic parabola which has its minimum at the point (2,-2) and which passes through the point (0,2). x^{2} - 3x + 3 x^{2} - 4x + 2 x^{2} - 5x + 1 x^{2} - 4x + 4 Question 9: What are the values of x for which the parabolas f(x) and g(x) intersect? f(x) = x^{2} + 2 g(x) = -x^{2} + 10? x = -3 and x = 3 x = -2 and x = 2 x = -1 and x = 1 x = 0 and x = 2 Press the Submit button to see the results.