Which graph shows the solution to the equation f(x)= (x-1)(x+4)
2 answers:
Answer:
D
Step-by-step explanation:
We have the function:
This is a quadratic in factored form.
The zeros of our function will be the opposites of our factors.
We have the factors (x-1) and (x+4).
Therefore, the zeros of our function must be at x=1 and x=-4.
Also, notice that the coefficient of our x-variable are both positive.
Therefore, the leading coefficient will also be positive.
So, this means that our graph must curve upwards.
Therefore, our graph must be curving upwards while crossing the points x=1 and x=-4.
So, our answer is D.
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