The parent function, , has been vertically compressed by a factor of one-half, shifted to the right three units and down two units. choose the correct function to represent the transformation.

Given: f(x) = 5^x. This is an exponential function.

Vertical compression by a factor of (1/2) results in g(x) = (1/2)5^x.

If this is shifted to the right 3 units, we get h(x) = (1/2)5^(x-3).

Finally, if this is shifted down 2 units, we get k(x) = (1/2)5^(x-3) - 2 (answer)

- 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

d

step-by-step explanation: