What is the vertex form of #y= (x - 3) (x - 2) #?
2 Answers
Explanation:
Firstly, we expand the right hand side,
Now we complete the square and do a bit of algebraic simplification,
vertex form:
Explanation:
The general vertex form is:
with a vertex at
(So that's our target).
Given
Expanding the right-side by multiplying:
Complete the square
Re-write as a squared binomial and simplified constant
which is in the general form (assuming a default value
The graph below for
graph{(x-2)(x-3) [-0.45, 10.647, -2.48, 3.07]}