Let g(x) be the reflection of f(x) = 3x +2 in the x axis what is a function rule for g(x)
A. g(x) = 3x - 2
B. g(x) = -3x - 2
C. g(x) = 3x + 2
D. g(x) = -3x + 2
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OpenStudy (anonymous):
ok did u get the other question
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
@ashley_f97
OpenStudy (anonymous):
ok well this one is way easier than the other one
OpenStudy (anonymous):
ok give me a min to think about it
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OpenStudy (anonymous):
who is ashely
OpenStudy (anonymous):
hey how can i add u as a friend
OpenStudy (anonymous):
go to my name and fan me. but anyway it should be c right
OpenStudy (anonymous):
oh yes i thpught i had told u but i for got srry and im talking to much more people more than 1 as u
OpenStudy (anonymous):
When you have a reflection in the x-axis, you have the following relation: \(f(x)\) reflected in the x-axis is the same as \(f(-x)\)
So, let us name the reflected function \(g(x)\) We have the relation
\[\eqalign{
g(x)&=f(-x) \\
&=3(-x)+2 \\
&=-3x+2 \\
&=2-3x \\}\]
Therefore, we have the answer as D
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