Quadratic Functions

Precalculus Quiz

 







Question 1: Find the vertex of the parabola f(x) = x2 - 4x + 4.












Question 2: Find the vertex of the parabola f(x) = -x2 - 4x + 1 .











Question 3: Find the minimum value of the parabola f(x) = 3x2 - 6x + 5.












Question 4: Find the maximum value of the parabola f(x) = -x2 - 2x + 9.












Question 5: Find a quadratic parabola which has its vertex at the point (0,-4) and which passes through the point (-2,0).

















Questions 6-7: Find the minimum value of the function f(x) = x4 - 18x2 + 90, and find the values of x for which f(x) is a minimum.

Minimum value:











Values of x for which f(x) is a minimum:











Question 8: Find a quadratic parabola which has its minimum at the point (2,-2) and which passes through the point (0,2).












Question 9: What are the values of x for which the parabolas f(x) and g(x) intersect?

f(x) = x2 + 2
g(x) = -x2 + 10?













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