Question 1: Find the critical values of the quadratic function y = x^2 - 4x + 3.

Answer: 1 and 3

Question 2: Determine the critical values of y = -2x^2 + 8x - 5.

Answer: 2 and 2

Question 3: Calculate the critical values for y = 3x^2 + 6x - 9.

Answer: -1 and -1

Question 4: Plot the graph of y = x^2 - 4x + 3 and identify the critical values on the x-axis.

Answer: Critical values at x=1 and x=3

Question 5: Construct a parabola with vertex at (2, -1) and find its critical x-value.

Answer: x=2

Question 6: Solve the inequality y > x^2 - 4x + 3, considering the critical values.

Answer: Solution for x in (1,3)

Question 7: A ball is thrown such that its height h(t) = -4.9t^2 + 10t + 1. Find the critical time when the height is maximum.

Answer: t=1.02 seconds

Question 8: Determine the critical values of y = -x^2 + 4x - 1 and interpret their meaning in the context of the parabola.

Answer: x=2; vertex maximum point

Question 9: Given the quadratic y = 2x^2 - 8x + 5, find the critical x-value and determine whether it is a maximum or minimum.

Answer: x=2; minimum

Question 10: Identify the critical values for y = x^2 + 6x + 9, and explain their significance in the context of the graph.

Answer: x=-3; vertex point

Question 11: An inequality states: x^2 - 4x + 3 < 0. Find the critical values and describe the solution set.

Answer: Critical values at x=1 and x=3; solution set x∈(1,3)

Question 12: Identify and correct the mistake: The critical values of y = 2x^2 + 4x + 1 are x=2 and x=-1.

Answer: Correct critical values are x=-1 and x=-1; mistake is in calculation of roots