Identify the transformations of the graph f(x) = x3 that produce the graph of the given function g(x) = − 1/4(x + 4)^3. Apply the transformations to the reference points (−1, −1), (0, 0), and (1, 1) using the changes to x and y. Complete the table. f(x) = x3 g(x) = −
1
4
(x + 4)3
x y x y
−1 −1
1
4

0 0 −4
1 1
−
1
4

87

Step-by-step explanation:

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

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step-by-step explanation: