Answer to Question #283389 in Algebra for Leg.end

Question

graph of y = x³ + 6 is translated 4 units to the right.

The translated graph has equation y = f(x)

Work out f(x).

Give your answer in the form x³+ ax² + bx + c where a, b and c are integers.

Answer 1

Translation of graph means to increase the graph in respected axis

It may be x -Axis or y-Axis .

So, according to the. Question

Y= X³+6 is translated 4 units to the right.

Y=(x-4)³ +6

Identity of (x-a)³ = x³ -a³-3x²a +3xa²

Y=(x³-64-(3x²*4)+3x*16 ) +6

Y= x³-12x² +48x -58

So, the value of

a is - 12

b is 48

c is -58