evaluate f(x) for the given values for x. then use the ordered pairs (x,f(x)) from the table to graph the…

Explanation:

Step1: Evaluate f(x) at x = 3

Substitute x = 3 into f(x)=(x - 2)^2. So f(3)=(3 - 2)^2=1^2 = 1.

Step2: Evaluate f(x) at x = 4

Substitute x = 4 into f(x)=(x - 2)^2. So f(4)=(4 - 2)^2=2^2 = 4. To graph the function, you can find more points by substituting other x - values into the function f(x)=(x - 2)^2. For example: When x = 2, f(2)=(2 - 2)^2=0; when x = 0, f(0)=(0 - 2)^2=4; when x = 1, f(1)=(1 - 2)^2=1; when x = 5, f(5)=(5 - 2)^2=9. Then plot the ordered - pairs (x,f(x)) on the coordinate plane and connect them with a smooth curve. The vertex of the parabola y=(x - 2)^2 is at the point (2,0) and it opens upwards.

Answer:

The function values for x = 3 and x = 4 are 1 and 4 respectively. To graph, find more points like (2,0),(0,4),(1,1),(5,9) etc., plot the ordered - pairs and connect them with a smooth curve. The vertex is (2,0) and the parabola opens upwards.