Question

Which is the graph of f(x) = -(x + 3)(x + 1)?

Answer 1

Explanation:

x intercepts are -3,-1

f(x)=-(x²+x+3x+3)=-(x²+4x)-3=-(x²+4x+4-4)-3=-(x+2)²+4-3

or f(x)=-(x+2)²+1

vertex is (-2,1)

so it is an inverted parabola with vertex (-2,1) and x-intercepts (-3,0) and (-1,0)