First, plot the coordinates so you can easily see the parallelograms. The points in blue is the original parallelogram, while the points in orange form the parallelogram after the transformation.
As you can observe, the two properties form a mirror image (reflection) vertically (or across the y-axis). However, it is moved downwards by 10 units. To guide you, count the units of distance between the two topmost points of each of the two parallelograms. The answer is letter A.
Step-by-step explanation:
Let √x - 1/√x = a
Squaring both the sides,
x + 1/x - 2 = a^2
Putting the value,
3–2√2 + 1/(3–2√2) - 2 = a^2
a^2 = 1 - 2√2 + 1/(3–2√2)
= [(3–2√2) (1–2√2) + 1] / 3–2√2
= {3 - 8√2 + 9} / 3–2√2
= [12 - 8√2] / 3–2√2
Rationalising both the sides
= {(12 - 8√2)(3+2√2)} ÷ (9–8)
= 36 + 24√2 - 24√2 + 16(2)
= 36 - 32
=> 4
a^2 = 4
a = √4
a = 2, -2
So,
√x - 1/√x = a = 2, -2.
Y coordinate (0,275) x coordinate (175,0)
You can divide by 10 and with that its simplified to 25;40...
then you can divede by 5 with that simplified its 5;8
So the answer is 5:8<span />