Answer:
Step-by-step explanation:
Let's just check something out before we continue to fill in the blanks.
The zeros are (x - 1) and (x -5)
y = (x - 1)(x - 5) Remove the brackets.
y = x^2 - 6x + 5 Complete the square
y = (x^2 - 6x + 9) + 5 - 9
y = (x - 3)^2 - 4
So we have a minumum at (3, - 4) Now we can go through the rest of the questions.
Part A
(1,0) and (5,0)
Part B
The vertex is (3, - 4) See the completed square above.
Part C
It's a minimum. It is the point between the two roots on the x axis. The vertex drops below the x axis.
Part D
The axis of symmetry goes through the x value of the minimum.
x = 3
The answers are all in parts A B C D. I leave you to figure out where to put them. You should be able to do that.
