Question

The curve with equation y = x² + 2x-3 is translated by [9].

Select the equation of the translated curve.
A
y = x² + 3x-2
D
y = x² + 2x - 4
B
y=x²+2x-2
C
y = (x + 1)² + 2(x + 1)-3

Answer 1

To translate the curve y = x² + 2x - 3 by [9] (a translation of 9 units to the right), we need to replace x with (x - 9) in the equation.

The equation of the translated curve would be:
y = (x - 9)² + 2(x - 9) - 3

Expanding and simplifying:
y = (x² - 18x + 81) + (2x - 18) - 3
y = x² - 18x + 81 + 2x - 18 - 3
y = x² - 16x + 60

Therefore, the correct equation of the translated curve is:
B) y = x² + 2x - 2