Ive already done number 1 but I dont know how to do the rest.

One function, h(x), with two complex solutions.
f(x) = x^2 -49 has two rational solutions
x^2 - 49 = 0
(x+7)(x-7) = 0
x = -7 and x =7

g(x) = x^2 -7 has two irrational solutions
x^2 = 7
x^2 = sq rt (7) and -sq rt (7)

h(x) = x^2 + 1 has two complex solutions
x^2 + 1 = 0
x^2 = -1
x = i and -i (sq rt (-1) and -sq rt (-1))

Question

Ive already done number 1 but I dont know how to do the rest.

One function, h(x), with two complex solutions.
f(x) = x^2 -49 has two rational solutions 
x^2 - 49 = 0 
(x+7)(x-7) = 0 
x = -7 and x =7

g(x) = x^2 -7 has two irrational solutions
x^2 = 7 
x^2 = sq rt (7) and -sq rt (7)

h(x) = x^2 + 1 has two complex solutions
x^2 + 1 = 0 
x^2 = -1 
x = i and -i (sq rt (-1) and -sq rt (-1))

anonymous · Answer

(continued) 
2. Explain how to convert f(x) into the general, vertex form of the equation. Use complete sentences. You may use the f(x) you created in question 1 as an example.