Select the correct answer. Which statement best describes the zeros of the function h(x) =(x-4)2(x2-7x+10)?
O A. The function has four complex zeros.
OB. The function has three distinct real zeros.
OC. The function has two distinct real zeros and two complex zeros.
OD
The function has four distinct real zeros.

B

Step-by-step explanation:

B

x - 4 squared provides 2 real zeros that are the same. These two are not distinct.

The other two come from x^2 - 7x + 10 which has a discriminate of

sqrt(7^2 - 4*1*10) = sqrt(9) = +/- 3 leading to something real and different.

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4