Question

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

Answer 1

The far left one. Use the tool that shows the points

Answer 2

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.