Which is the graph of f(x) = (x – 1)(x + 4)?
2 answers:
ANSWER
See attachment.
EXPLANATION
The given function is
f(x) = (x – 1)(x + 4).
This parabola will open upwards because the leading coefficient is positive.
The x-intercepts can be found by equating the function to zero.
By the zero product property;
This implies that,
The graph that touches the x-axis at -4 and 1, and opens upwards is the last graph.
The correct choice is D.
Answer:
The fourth graph (last graph)
Step-by-step explanation:
Remember that the zeros of a function are the x-intercepts of the graph. To find the zeros we just need to set the function equal to zero and solve for x:
Now we know that the graph or our function intersects the x-axis at x = 1 and x = -4.
Since both x values inside the parenthesis are positive, our parabola is opening upwards.
The only graph opening upwards whose x-intercepts are x = 1 and x = -4 is the fourth one.
We can conclude that the graph of is the fourth one.
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