The new coordinate of the image after the reflection in the x-axis is [tex]P'(3, 4)[/tex].
What is reflection?
Reflection is a type of rigid geometrical transformation that maintains the object's size and shape, unlike other transformations such as dilation, which changes the size of the shape, reflection results in congruent images.
What is the rule for the reflection in the x-axis?
The rule for the reflection over the x axis is "if the point (x, y) reflected in axis the it becomes (x, -y).
According to the given question.
We have a coordinates of the image of P(3, -4).
So, when the coordinates of the image is reflected in the x-axis then the x coordinate remains same but the y coordinate changes its sign from negative to positive and we get the new coordinate of the image that is [tex]P'(3, 4).[/tex]
Hence, the new coordinate of the image after the reflection in the x-axis is [tex]P'(3, 4)[/tex].
Find out more information about reflection here:
https://brainly.com/question/15175017
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