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Sagot :
Step-by-step explanation:
A transformation(s) of a parent function is
[tex]f(x) = a(bx - c) + d[/tex]
where a is vertical compression/stretched or reflection
B is horinzotnal compression/stretch or reflection
C is horinzontal translation
D is vertical translation.
The parent function is
[tex]y = \tan(x) [/tex]
First, we stretched this by 7
so we have
[tex]y = 7 \tan(x) [/tex]
We need to shift this 12 units to the left so we have
[tex]y = 7 \tan(x + 12) [/tex]
We need to reflect this across x axis so we get
[tex]y = - 7 \tan(x + 12) [/tex]
We need to shift this downwards 15 so we get
[tex]y = - 7 \tan(x + 12) - 15[/tex]
or because tan is a odd function you could say
[tex]7 \tan( - (x + 12) ) - 15[/tex]
[tex]7 \tan( - x - 12) - 15[/tex]
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