The required sequences are The first pair is rotated and translated, the second pair is reflected and translated, and the third pair is reflected and translated.
<h3>What is translation?</h3>Translation means the displacement of a figure or a shape from one place to another. In translation a figure can move upward, downward, vertical and horizontal.
Some of the Translation are,
A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
Rotation means the circular movement of an object around a centre. It is possible to rotate different shapes by an angle around the centre point.
Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system.
Thus, the required sequences are The first pair is rotated and translated, the second pair is reflected and translated, and the third pair is reflected and translated.
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The complete question image is attached.
Given:
The parent function is
To find:
The function after the reflection over the x-axis.
Solution:
We know that, if a function f(x) reflected over x-axis to get the function g(x), then
Putting , we get
The function after the reflection over the x-axis is .
Therefore, the correct option is B.