Question

. Graph f(x) = 6x + 2 and g(x) = 6x - 4. Then describe the transformation from the graph of f(x) to the graph of g(x). у 6. 5. 4. 3. 2 . 0 1 A -3 -2 -1 3 2 -i - 5 4 5 6 -3 ### 5. -6​

Answer 1

Answer:

.Graph f(x) = 6x + 2 and g(x) = 6x - 4. Then describe the transformation from the graph of f(x) to the graph of g(x). у 6. 5. 4. 3. 2 . 0 1 A -3 -2 -1 3 2 -i - 5 4 5 6 -3 ### 5. -6​

Step-by-step explanation:

.Graph f(x) = 6x + 2 and g(x) = 6x - 4. Then describe the transformation from the graph of f(x) to the graph of g(x). у 6. 5. 4. 3. 2 . 0 1 A -3 -2 -1 3 2 -i - 5 4 5 6 -3 ### 5. -6​

Answer 2

The transformation from the graph of f(x) to the graph of g(x) is a vertical shift down by 6 units

The functions are given as:

$f(x) = 6x + 2$

$g(x) = 6x - 4$

Subtract function f(x) from g(x),

$k = g(x) - f(x)$

This gives

$k = 6x - 4 - 6x - 2$

Collect like terms

$k = 6x- 6x - 4 - 2$

$k = -6$

The above represents the unit of translation of function f(x) to g(x).

Hence, the transformation from the graph of f(x) to the graph of g(x) is a vertical shift down by 6 units

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