Answer: Vertex = (3, -1), 2nd point = (4, 0)
Step-by-step explanation:
f(x) = (x - 2)(x - 4)
The x-intercepts (when y = 0) are: x - 2 = 0 and x - 4 = 0 → x = 2 & x = 4
The x-value of the vertex is the midpoint of the zeros. The midpoint between x = 2 and x = 4 is x = 3
The y-value of the vertex can be found by plugging the x-value (above( into the given equation: f(3) = (3 - 2)(3 - 4) = (1)(-1) = -1
So, the vertex is (3, -1) ← PLOT THIS COORDINATE
Additional points are: (2, 0) and (4, 0) ← PLOT ONE OF THESE
