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inna [77]
3 years ago
13

Let the graph of g be a translation 5 units up followed by a reflection about the y−axis of the graph of f(x)=6x. Write a rule f

or g.
Mathematics
1 answer:
yan [13]3 years ago
5 0

Reflections and translations are instances of transformation.

<em>The rule of function g for the given reflection and translation is </em>g(x) =-6x + 5<em />

<em />

Given

f(x) = 6x

<u>The rule of translating 5 units up is:</u>

(x,y) \to (x,y+5)

So, we have:

f'(x) = f(x) +5

f'(x) = 6x +5

<u>The rule of reflecting about the y-axis is:</u>

(x,y) \to (-x,y)

So, we have:

g(x) =f(-x)

g(x) =6(-x) + 5

g(x) =-6x + 5

Hence, the rule of function g is: g(x) =-6x + 5

Read more about function transformations at:

brainly.com/question/13801312

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