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Maths-

General

Easy

Question

$y equals left parenthesis x plus 5 right parenthesis squared minus 8$
The equation above can be represented by a parabola in the -plane. The parabola is then translated so that the vertex is at (0, 0). Which of the following best describes the translation?

5 units in the negative x direction and 8 units in the negative y direction
5 units in the negative x direction and 8 units in the positive y direction
5 units in the positive x direction and 8 units in the negative y direction
5 units in the positive x direction and 8 units in the positive y direction

The correct answer is: 5 units in the positive x direction and 8 units in the positive y direction

HINT : Draw graph and check (best way and no confusion)
Explanation:
Let the new coordinates be X,Y
then new shifted equation be Y=X² with (0,0) as vertex
Now the old equation be y+8 = (x+5)²
Now lets compare the new and old coordinates of x and y
On comparison X= x+5 (i. e shift 5 units to positive x direction)
On comparison Y= y+8 (i. e shift 8 units to positive y direction)

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