Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!Graph h(x) = (x - 2)(x - 4)

Answer 1

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: $x=\dfrac{2+4}{2}\ \rightarrow \ x = 3$

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)