The function f(x) = x^2. the graph of g(x) is f(x) translated to the right 3 units and down 3 units. what is the function rule for g(x)?

g(x) =

Step-by-step explanation:

It is given that f(x) is .

The graph is basically a parabola opening upward with vertex at origin.If we shift it right by 3 units and down by 3 units, the graph will still be a parabola opening upward but with vertex (3,-3).

The general equation of a parabola opening upward with vertex (a,b) is given by:

y-b =

In this case a=3 and b=-3, then we get

y = =

Hence g(x) becomes .

yes

step-by-step explanation:

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?