Question

Which graph best represents the function g(x) = (x - 2)x + 4)?
Sorry if it’s kinda hard to see

Answer 1

b.

Explanation:

expand (x-2)(x+4)

(x-2)(x+4)=0

x²+2x-8=0

a=1,b=2,c=-8

From this equation we know that ,

a>0, the shape of the graph is a minimum graph.

c is the y-intercept ,the graph will intercept -8 at y-axis .

By solving this (x-2)(x+4)=0 we know the x-intercept of the graph .

(x-2)(x+4)=0

x=2 ,x=-4