If the graph of y = (x - 2)<sup>2</sup> - 3 is shifted by 5 units up along y-axis and 2 unit to the right along the x-axis, then the equation of the resultant graph is ?
Given equation: \( y = (x - 2)^2 - 3 \) Shifting 5 units up, we get: \[ y = (x - 2)^2 - 3 + 5 \] \[ y = (x - 2)^2 + 2 \] Shifting 2 units to the right, we get: \[ y = (x - (2+2))^2 + 2 \] \[ y = (x - 4)^2 + 2 \] So, the equation of the resultant graph will be: \[ y = (x - 4)^2 + 2 \] Hence, option **(4)** is correct.
Reinforce your conceptual grasp with related questions from NIMCET 2017:
Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.
Start Free Mock Test Series →