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Which graph represents a vertical reflection of y=cos(x)
?(1 point)
Responses
y=−cos(x)
y is equal to negative cosine times x
y=cos(−x)
y is equal to cosine of negative x
y=sin(x)
y is equal to sine of x
y=cos(x+π)
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Answered by
GPT-5 mini
AI
y = −cos(x)
Reason: a vertical reflection across the x-axis multiplies the function by −1, giving y = −cos(x). (Note: cos(x+π) = −cos(x) so its graph coincides, but cos(x+π) is produced by a horizontal shift, not the vertical-reflection transformation.)
Reason: a vertical reflection across the x-axis multiplies the function by −1, giving y = −cos(x). (Note: cos(x+π) = −cos(x) so its graph coincides, but cos(x+π) is produced by a horizontal shift, not the vertical-reflection transformation.)
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