Question

Quick trig question!! Which equation represents the graph of y = cos x flipped across the x-axis then shifted vertically up by 2 units?

y = -cos x + 2

y = -cos x - 2

y = cos(x - 2)

y = cos(-x) + 2

Answer 1

Explanation:

Given : y = cos x

To Find : Which equation represents the graph of y = cos x flipped across the x-axis then shifted vertically up by 2 units?

Solution :

y = cos x

Since we are given that the graph of y = cos x flipped across the x axis

So it will be lying in negative x axis

So, equation becomes y= - cos x

Now shift the obtain graph vertically up by 2 units

When the graph ships vertically up by some units so f(x) becomes f(x)+b

Where b is the units by which the graph shifts

Since the obtained graph is f(x) = y = -cos x

So after the vertically upward shift by 2 units :

y = -cos x+2

Thus Option A is correct .

Refer the attached figure

Answer 2

"y = -cos x + 2" is the equation among the following choices given in the question that represents the graph of y = cos x flipped across the x-axis then shifted vertically up by 2 units. The correct option among all the options that are given in the question is the first option. I hope the answer has come to your desired help.