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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
User JSamir
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1 Answer

6 votes

Answer:

Explanation:

f(x) = (x + 3)(x - 2​) has two zeros: One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).

The axis of symmetry is a vertical line located halfway between -3 and 2:

x = -1/2.

The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).

With this information we can eliminate the last two possible answers. Note that the x-intercepts of the first graph are -3 and 2, Thus, the first graph is the correct one.

User Gokulakrishnan
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