98 points f(x) = 2/3x − 8 the function in the graph is g(x). which has the greatest value? a. f(6) b. g(2) c. f(0) dg(-4)

Step-by-step explanation:

we are given f(x) and the graph of g(x)

to figure out which function has the greatest value we need to figure out g(x) function first

the given graph is a parabola so g(x) has to be quadratic function

both vertex and y-intercept of the function is (0,-1)

remember,

vertex:(h,k)

we got from the graph (h,k)=(0,-1)

substitute the value of h and k to the vertex form:

simplify:

now we need to know figure out a

to do so take (-4,-5) coordinate pair which means if x=-4 then g(x)=-5

it is helpful to figure out a

substitute the value -4 for x and -5 for g(x):

simplify square:

add 1 to both sides:

divide both sides by 16:

our quadratic function is

for f(x) and g(x) substitute the values 6,0 and 2,-4 to determine which function has the greatest value

let's work with f(x)

when x is 6 then f(x)

simplify multiplication:

simplify:

simplify substraction:

when x is 0 then f(x)

simplify multiplication:

let's work with g(x) now

when x is 2 then g(x)

simplify square:

simplify:

simplify substraction:

when x is -4 then g(x)

simplify square:

simplify;

simplify multiplication:

simplify subtraction:

so

hence,

our answer choice is

b

step-by-step explanation: