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Which the following equations does the graph represent

Which the following equations does the graph represent-example-1
User Ebsan
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2 Answers

5 votes

Answer: C

Explanation:

it is y=(x+1)(x-3)(x-2)

I also took the test

User Sagar Koshti
by
8.6k points
4 votes

Answer:

The correct option is C.

Explanation:

If a₁,a₂,a₃,...,aₙ x-intercepts of a function, then the function is defined as


f(x)=a_0(x-a_1)(x-a_2)(x-a_3)...(x-a_n)

Where a₀ is a constant.

From the given graph it is clear that the x-intercepts of the function are -1, 2 and 3. It means (x+1), (x-2) and (x-3) are factors of the required function.


y=a_0(x+1)(x-2)(x-3)

The y-intercept of the function is (0,6). It means the equation must be satisfy by the point (0,6).


6=a_0(0+1)(0-2)(0-3)


6=6a_0


1=a_0

The value of a₀ is 1. So, the required function is


y=1(x+1)(x-2)(x-3)


y=(x+1)(x-2)(x-3)

Therefore the correct option is C.

User Jonathan Sayce
by
8.4k points

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