Question

Which the following equations does the graph represent

Answer 1

Answer:

The correct option is C.

Step-by-step 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.

Answer 2

Answer: C

Step-by-step explanation:

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

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