To match the given function with its graph, we will find its . To do so, we will rewrite it a little bit.
y=41(x+5)(x−3) ⇔ y=41(x−(-5))(x−3)
Note that now the is written in .
Factored form:Given equation: y=a(x−p)(x−q) y=41(x−(-5))(x−3)
In this form, the zeros of the function are p and q. Therefore, the zeros of the given function are -5 and 3. This matches choice V.