In the following three apps the reference function is graphed in red and the new function is written in blue. Check the appropriate boxes for the new function and type in the vertex. The app will indicate if you are correct or if you need to keep working.
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[/img]
Given f(x)=[math]x^2[/math].[br]a) If f is translated 2 units to the left. write the new function f. [br]b) If h is vertically compressed by a scale factor of 1/2. write the new function k.[br]c) If k is translated 2 units upwards. Write the new function h of this trasnformation.