Describe fully the single transformation which takes shape A to shape B?

Analyzing the image and the given figure, this movement is:

This exercise is necessary to write the translation and rotation movement of the figure, this way this movement can be written in matrix form:

Where the X when positive represents movement to the right and when negative to the left. The Y represents when positive up and when negative down.

So the movement for figure A to be the same as for figure B is:

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infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions