Which description matches the transformations y cos x under

Which description matches the transformations y = cos x undergoes to produce y = -3 cos(x) + 1 ? A. Vertical stretch by factor 3, reflection through the x-axis, then a vertical shift up 1 unit B. Horizontal compression by factor 3, vertical shift by 1 unit up, then a reflection through the x-axis c. Horizontal shift left 3 units, then vertical shift up by 1 unit D. Reflection through the y axis, vertical shift of 1 unit, horizontal shift right by 3 units

Solution

y=-3cos(x) +1

Minus sign represents reflection across. x axis.

3 represents vertical stretch by 3 units and vertical shift by 1 unit.

Correct option is a.

 Which description matches the transformations y = cos x undergoes to produce y = -3 cos(x) + 1 ? A. Vertical stretch by factor 3, reflection through the x-axis

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