If you shift the linear parent function, f(x) = x, up 12 units, what is the equation
of the new function?
o
a. g(x) = 12x
o
b. g(x) = x + 12
o c. g(x) = x - 12
o d. g(x) = 12
submit

g(x) = x + 12

Step-by-step explanation:

If we shift the linear parent function, f(x) = x, up 12 units, then the value of y i.e. f(x) will raise by 12 units for a corresponding value of x.

Now, the function is f(x) = x is such that the shifting the function up by 12 units and shifting the function left by 12 units will be similar.

Therefore, the equation of the new function will be g(x) = x + 12

Hence, option B will be correct. (Answer)

Step-by-step explanation:

Given

-- dilation factor

Required

Determine the coordinates of the new triangle

This is calculated using:

So, we have:

and