which is the graph of ( f(x)=(x - 1)(x + 4) )?
which is the graph of ( f(x)=(x - 1)(x + 4) )?
Answer
Explanation:
Step1: Determine the leading coefficient and the shape of the parabola
The function ( f(x)=(x - 1)(x + 4)=x^{2}+3x - 4 ). The leading coefficient ( a = 1>0 ), so the parabola opens upwards.
Step2: Find the x - intercepts
Set ( f(x)=0 ), then ( (x - 1)(x + 4)=0 ). By the zero - product property, ( x-1 = 0) gives ( x = 1), and ( x + 4=0) gives ( x=-4). So the x - intercepts are ( x = 1) and ( x=-4).
Answer:
The graph which is a parabola opening upwards with x - intercepts at ( x=-4) and ( x = 1).