Question

Select the correct graph of $|4\cos x-3|.$

• A.
• B.

Answer 1

The correct option is B

Let $f\left(x\right)=|4\cos x-3|$
Now, to find the graph of $f\left(x\right),$ let's start with the graph of $\cos x$ and then we will keep on transforming it to get to the graph of $f\left(x\right).$
Step 1: Graph of $\cos x:$


Step 2: Stretching the graph along the y - axis 4 times we get the graph of $4\cos x$ as:


Step 3: Shifting the graph $3$ units downwards, we get the graph of $4\cos x-3$ as:


Now, for this graph if we apply the modulus function, all the portion which is lying below the x- axis will be flipped as: