The function g(x) = x is transformed to obtain function h. h(x) = g(x + 7).
Which statement describes how the graph of his different from the graph of g?
OA. The graph of h is the graph of g vertically shifted up 7 units.
ОВ.
Oc.
The graph of his the graph of g vertically shifted down 7 units.
The graph of h is the graph of g horizontally shifted left 7 units.
The graph of h is the graph of g horizontally shifted right 7 units.
OD
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are you an artist's daughter? cuz dang you a fine piece of art, girl.

this answer is !

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4