Answer:
x intercepts are easier. They are almost just read.
Explanation:
The x intercepts are easier to find. You can almost just read them.
x + 2 = 0 Subtract 2 from both sides.
x = - 2 Answer
x - 6 = 0 Add 6 to both sides.
x = 6 Answer
So the x intercepts are (6,0) and (-2,0)
Now to the vertex. You could average the two x intercepts. But that will give you only the x value of the vertex. (6 - 2)/2 = (4)/2 = 2
But you still have to get the y value.
y(2) = (1/4)*(x + 2)( x - 6) Substitute 2 in for both xs
y(2) = (1/4)* (2 + 2) (2 - 6) Combine the terms
y(2) = (1/4) * 4 * - 4 multiply the 1/4 * 4 which gives 1
y(2) = 1 *- 4 = - 4
The vertex is (2,-4)
Note: If you do this the long way. The 1/4 has to be taken into account. Here we don't have to. The final result is
y = (1/4)(x - 2)^2 - 4
and even then, the - 4 gives some trouble. The x intercepts are much easier.