# SOLUTION: Please help me with this question: Name the x-intercepts and the vertex of the graph of y=(x+3)(x-1). Then sketch the graph of the function.

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Please help me with this question: Name the x-intercepts and the vertex of the graph of y=(x+3)(x-1). Then sketch the graph of the function.      Log On

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 Question 33804: Please help me with this question: Name the x-intercepts and the vertex of the graph of y=(x+3)(x-1). Then sketch the graph of the function.Answer by stanbon(57361)   (Show Source): You can put this solution on YOUR website!To find the x-intercepts, let y=0 and solve for "x", as follows: 0=(x+3)(x-1) Since the product is zero one of the factors is zero. If x+3=0 then x=-3 If x-1=0 then x=1 x-intercepts are (-3,0) and (1,0) VERTEX: Rewrite the equation as follows: y=x^2+2x-3 Complete the square, as follows: y+3=x^2+2x y+3+1=x^2+2x+1 y+4=(x+1)^2 Vertex is at x=-1, y=-4 Cheers, Stan H.