Consider the principal branch of the function .

MATHEMATICS · Multi-part · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Consider the principal branch of the function y=arcsin⁡xy=\arcsin x. (i) Sketch the graph of y=arcsin⁡xy=\arcsin x on the same set of axes as the coordinate system. (ii) The graph is then translated 1 unit to the right and 2 units upward. Write the equation of the new curve. (iii) Determine the coordinates of the new curve’s endpoints and its yy-intercept. (iv) State the domain and range of the translated curve.

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