Vikram claims that the value of k is 6 since the x-intercept of g(x) is 6 units to the right of the x-intercept of f(x). Decide if Vikram is correct. If he is correct, enter 6 below. If he is incorrect, enter the correct value of k.

g(x) = f(x) - 3

k = 3

Step-by-step explanation:

A linear function is in the form f(x) = mx + b, where m is the slope and b is the y intercept (value of y when x = 0).

Translation is the movement of a function either up, down, left or right.

If a function y = f(x) is translated k units up, the new function produce would be y = f(x) + k.

If a function y = f(x) is translated k units down, the new function produce would be y = f(x) - k.

If a function y = f(x) is translated k units left, the new function produce would be y = f(x-k).

If a function y = f(x) is translated k units right, the new function produce would be y = f(x + k).

From the image attached, we can see that the graph of g(x) is below that of f(x), hence f(x) was translated k units down to form g(x), hence:

g(x) = f(x) - k

To find the value of k, we see that the y intercept of f(x) is 1 and the y intercept of g(x) = -2, hence k = 1 - (-2) = 3

F(x) was translated 3 units down to form g(x), hence:

g(x) = f(x) - 3

how is that middle school

step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: