Question

The slope of a linear function h(x) is 2. Suppose the function is translated 8 units up to get d(x) How can h(x) be translated to the left or right to represents the same function d(x) ?
Explain your answer.

Answer 1

The h(x) should be Left 4 units translated to the left or right to represent the same function d(x).

What is a function?

The function is a type of relation, or rule, that maps one input to specific single output.

Calculation of h(x) that need to be translated:

h(x) represents a line with slope 2.  

Let's assume it has y-intercept b so,

h(x) = 2x + b

d(x) represent h(x) shifted up 8 units.  

So,

d(x) = h(x) + 8

d(x) = 2x + b + 8

Now

h(x−a) = d(x)

2(x−a) + b = 2x + b + 8

2x − 2a + b = 2x + b + 8

-2a = 8

a = -4

Since a is negative, so the shift is to the left to represent the same function d(x) .

Learn more about the function here:

brainly.com/question/16995471

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