Which equation shows the quadratic function f(x)=x^2-8x-6 in vertex form? a. f(x)= (x-4)^2-10b. f(x)= (x-8)^2-14c. f(x)=(x-8)^2-6d. f(x)=(x-4)^2-22

D. f(x)=(x-4)^2-22 is the answer, both vertexes are at (4,−22)

Answer to your question: a. the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. the roots are ​ x=1±i7√2 .number of roots=degree of polynomialhere, degree of polynomial is 2 so number of roots will be 2.hope it *_*