select the correct answer. what are the factors of this quadratic function? a. (x - 1) and (x - 5) b. (x +…

select the correct answer. what are the factors of this quadratic function? a. (x - 1) and (x - 5) b. (x + 1) and (x + 5) c. (x - 1) and (x + 5) d. (x + 1) and (x - 5)

select the correct answer. what are the factors of this quadratic function? a. (x - 1) and (x - 5) b. (x + 1) and (x + 5) c. (x - 1) and (x + 5) d. (x + 1) and (x - 5)

Answer

Explanation:

Step1: Identify x - intercepts

The factors of a quadratic function can be found from its x - intercepts. The x - intercepts are the values of x where y = 0. From the graph, the x - intercepts are x=-1 and x = 5.

Step2: Write the factors

If x = a is an x - intercept of a function, then (x - a) is a factor. For x=-1, the factor is (x+1) and for x = 5, the factor is (x - 5).

Answer:

D. (x + 1) and (x - 5)