Respuesta :

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Answer:

Part A:

Two types of translation are;

1) Horizontal translation left T(0, 8),

2) Vertical translation T(16, 0)

Part B:

For the horizontal translation transformation, k = 8

For the vertical translation transformation, k = 16

Part C:

For the horizontal translation transformation, the equation is f(x + 8) = g(x)

For the vertical translation transformation, the equation is f(x) + 16 = g(x)

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Part A

We can shift f(x) up to g(x)

or we can shift f(x) to the left into g(x)

Part B

y = f(x) + k  k > 0 moves it up

f(x) goes from -1 to 17 for a distance of 18 units

We are moving up 18 units

k = 18

y = f(x + k) k> 0 moves it left

We are moving to the left from 0 to -6 units for a distance of 6 units

k = 6

Part C

Up:

g(x) = f(x) +18

Left:

g(x) = f(x+6)