Respuesta :

Step-by-step explanation:

Performing transformations on linear functions are weird but doable.

First, let put the function in the form of

Point Slope Form, one point that pass through 8x-3 is (1,5) so know we have

[tex]y - 5 = 8(x - 1))[/tex]

[tex]y = 8(x - 1) + 5[/tex]

Now, we can do our transformations.

First, shift the right by 4 units.

[tex]y = 8(x - 5) - 5[/tex]

Next, we reflect across y axis so we make the y negate inside the parenthesis

[tex]y = 8( - (x - 5) - 5[/tex]

[tex]y = 8( - x + 5) - 5[/tex]

[tex]y = - 8x + 40 - 5[/tex]

[tex]y = - 8x + 35[/tex]

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