Question

Write the equation of the graph below in factored form

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

Answer 1

Find x intercepts

• (1,0)
• (2,0)
• (3,0)

So

• a=1,b=2,c=3

Now

• y=(x-a)(x-b)(x-C)

Put values

• y=(x-1)(x-2)(x-3)

Answer 2

• D) f(x) = (x - 1)(x - 2)(x - 3)

Explanation:

Given

• Graph of the function

To find

• The function in factored form

According to graph we observe:

• the function has 3 roots at x = 1, 2, 3;
• the function is of odd degree;
• the function is increasing, so the coefficient is positive

This gives us the function:

• f(x) = (x - 1)(x - 2)(x - 3)

The matching answer choice is D