Answer:
x²-8x+18
Step-by-step explanation:
Using the vertex formula: a(x-h)²+b
we know the vertex is (4,2) which means we have
a(x-4)²+2
we need to solve for a
we know that hwne x=3 y=3 which means..
3=a(3-4)²+2
1=a(-1²)
a=1
which means our equation is
(x-4)²+2 we need to write this in standard form
to do this we carry out the exponent and get
x²-8x+16+2
which gives us
x²-8x+18
