What is the equation of the translated function, g(x), if
f(x) = x2?

g(x) = (x – 4)2 + 6
g(x) = (x + 6)2 – 4
g(x) = (x – 6)2 – 4
g(x) = (x + 4)2 + 6

we have

the vertex is the point

The vertex of the function g(x) is

so

the rule of the translation  of f(x) to g(x) is equal to

that means

the translation  is units to the left and units up

the equation of g(x) is

therefore

the answer is

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves