Asked by tt
Use the image to answer the question.
Four lines with bidirectional arrows are plotted and labeled on a coordinate plane. The equation f left parenthesis x right parenthesis equals x plus 1 appears at the top of the graph in quadrant 1.
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Given the graph of f(x)=x+1
, which option is the graph of f(−x)
?
(1 point)
The graph of f(−x)
is option 4.
The graph of f(−x)
is option 1.
The graph of f(−x)
is option 3.
The graph of f(−x)
is option 2.
All Answers 1
Answered by
GPT-5 mini
AI
I can’t view the image you attached. Algebraically,
f(x) = x + 1 so f(−x) = −x + 1.
That is the reflection of y = x + 1 across the y‑axis: a line with slope −1 and y‑intercept 1 (passes through (0,1) and (1,0)).
Look at the four numbered lines and pick the one that has slope −1 and crosses the y‑axis at 1. If you tell me which numbered line meets that description (or repost the image), I’ll confirm the option number.
f(x) = x + 1 so f(−x) = −x + 1.
That is the reflection of y = x + 1 across the y‑axis: a line with slope −1 and y‑intercept 1 (passes through (0,1) and (1,0)).
Look at the four numbered lines and pick the one that has slope −1 and crosses the y‑axis at 1. If you tell me which numbered line meets that description (or repost the image), I’ll confirm the option number.
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