On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. which graph represents the translation g(x) = |x + 2| as a solid line?

If the graph of a function    is known, the graph of    can be obtained by shifting the graph of of  by a units in the to the  the x direction, i.e horizontal translation of 2 units to the left.

In the case of has it's vertex at the at the origin(0,0). The graph of   has it's vertex at (-2,0). In the image attached with this explanation, the the green lines represent the graph of and the blue lines represents the graph of .

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?