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Which is the graph of f(x) = (x+3)(x - 2)?

Which is the graph of f(x) = (x+3)(x - 2)?-example-1

2 Answers

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The far left one. Use the tool that shows the points
User Erik Giberti
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Answer: Graph (C) is the correct graph, Its image is attached below.

Step-by-step explanation: We are given to select the correct graph for the following quadratic function :


f(x)=(x+3)(x-2)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

The zeroes of the function (i) are given by


f(x)=0\\\\\Rightarrow (x+3)(x-2)=0\\\\\Rightarrow x+3=0,~~~~~x-2=0\\\\\Rightarrow x=-3,~2.

That is, the graph of the function f(x) crosses the X-axis at x = -3 and x = 2.

From the given four graphs, we see that the third graph meets the X-axis at the points x = -3 and x = 2.

Therefore, the correct graph is the graph (C). Its image is attached below.

Which is the graph of f(x) = (x+3)(x - 2)?-example-1
User RuBiCK
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