question 16 of 20
which description matches the transformations $y = \cos x$ undergoes to
produce $y = -3\cos(x) + 1$?

$\bigcirc$ a. reflection across the $y$-axis, vertical shift up by 1 unit, horizontal
shift right by 3 units

$\bigcirc$ b. horizontal shift left 3 units, then vertical shift up by 1 unit

$\bigcirc$ c. vertical stretch by factor 3, reflection across the $x$-axis, then a
vertical shift up 1 unit

$\bigcirc$ d. horizontal compression by factor 3, vertical shift by 1 unit up, then
a reflection across the $x$-axis

Question

question 16 of 20
which description matches the transformations $y = \cos x$ undergoes to
produce $y = -3\cos(x) + 1$?

$\bigcirc$ a. reflection across the $y$-axis, vertical shift up by 1 unit, horizontal
shift right by 3 units

$\bigcirc$ b. horizontal shift left 3 units, then vertical shift up by 1 unit

$\bigcirc$ c. vertical stretch by factor 3, reflection across the $x$-axis, then a
vertical shift up 1 unit

$\bigcirc$ d. horizontal compression by factor 3, vertical shift by 1 unit up, then
a reflection across the $x$-axis

Accepted Answer

# Answer:
C. Vertical stretch by factor 3, reflection across the x-axis, then a vertical shift up 1 unit

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