Express x^2-8x in the form (x-a)^2-b where a and b are integers
1 answer:
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Answer:
Option (1) will be the answer.
Step-by-step explanation:
Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.
Slope of the line f,
After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,
Rule for dilation,
(x, y) → (kx, ky)
Where k = scale factor
A(0, 2) → A'(0, 4)
B(2, 0) → B'(4, 0)
Slope of line f',
Since,
Therefore, both the lines f and f' will be parallel.
Option (1) will be the answer.
use
to get
then use
and
also,
to get
then again use the first identity In both pairs, i.e.
to get
multiply and divide by 4 to get the RHS.
because,
squaring both sides,