which function has maximum value of 0?

Question

A. f(x)=2(x+2)(x-1) B.f(x)=(x-1)2 -2 C.f(x)= (x-1)(x+3) D. f(x)=-(x+3)2 E. f(x)=-2x2-8x+3 F. f(x)=1/2x2-2

Answer 1

Look at the vertex (h, k)

 

where the vertex form of a quadratic function is

 

f(x) = a(x - h)² + k

 

with k=0 being the maximum value if a<0.

 

a is the coefficient of the leading term.

 

 

Use this fact to find your function.

 

 

 

Answer 2

D 

A quadratic opening down that can be written as a binomial squared will always have a maximum of 0

 

-(x+3)²