The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. the point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(4, −7)
(−4, −7)
(4, 7)
(−4, 7)

 we have

so

the rule of the translation of f(x) to g(x) is

that means

The translation is units to the right and units down

Find the translation of the point on the graph of f(x) to the graph of g(x)

Applying the rule of the translation

therefore

the answer is the option

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.