Answer: Vertex (3, -1), 2nd point (0, 2) or (0, 4)
Step-by-step explanation:
h(x) = (x - 2)(x - 4) is in intercept form where x - 2 = 0 is one of the x-intercepts and x - 4 = 0 is another one of the x-intercepts
⇒ x = 2 and x = 4
So, two points on the graph are: (0, 2) and (0, 4)
The Axis Of Symmetry is the midpoint of the intercepts: [tex]x=\dfrac{2+4}{2}\ \rightarrow \ x = 3[/tex]
Plug in the x-value to find the y-value of the vertex: y = (3-2)(3-4) = -1
So, the vertex is: (3, -1)
