How does the graph of f(x) = (x + 7)3 − 8 compare to the parent function g(x) = x3?

The graph of f(x) is the translation of the graph of g(x) 7 units at left and 8 units down

Step-by-step explanation:

we have

---> The turning point is the point (0,0)

---> The turning point is the point (-7,-8)

so

The rule of the transformation of g(x) to f(x) is equal to

(x,y) ----> (x-7,y-8)

That means----> The translation is 7 units to the left and 8 units down

therefore

The graph of f(x) is the translation of the graph of g(x) 7 units at left and 8 units down

see the attached figure to better understand the problem

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

dont trust me im no expert these losers made me fail a test bro this sucks

step-by-step explanation: