Answer:
Step-by-step explanation:
Given the expression
First, factor each denominator:
1.
2.
Now the expression is
Now, multiply the first numerator by (y-3) and the second by (y-4) and write the result as a fraction with denominator
This fraction cannot be simplified more.
Problem
Solution
For this case we know that the vertex is given by (3,6) and the genera equation for a parabola is given by:
y= a(x-h)^2 +k
Where h = 3, k=6 and replacing we have:
y= a(x-3)^2 +6
And we can find the value of a with the point given x= 4, y=4
4= a(4-3)^2 +6
4= a +6
a= 4-6=-2
And the correct equation would be:
d. y= -2(x-3)^2 +6
