Sorry....I didn't see the (-) in front of the "0.5 "
Let me rework this.....it will be a similar process....
We can write
y = a( x + 0.5) ( x - 6.5)
And we know that (0, 1) is on the graph.....so
1 = a ( 0 +0.5) (0 - 6.5)
1 = a ( 0.5) ( - 6.5)
1 = a (- 3.25)
a = -1 / 3.25 = - 4/13
So our function becomes
y = (-4/13) (x + 0.5) ( x - 6.5)
y = (-4/13) (x^2 - 6x - 3.25)
y = (-4/13)x^2 + (24/13)x + 1
Here's the graph : https://www.desmos.com/calculator/r3el9qubfe
Sorry about that !!!!