### Home > INT3 > Chapter 7 > Lesson 7.2.2 > Problem 7-74

7-74.

Consider the transformations outlined below. Homework Help ✎

How is the graph of

*f*(*x*) =transformed to obtain the graph of *g*(*x*) =– 3? How is the graph of

*y*=*x*^{2}transformed to obtain the graph of*y*= –(*x*– 1)^{2}+ 20?How is the graph of

*y*=transformed to obtain the graph of *y*= –3?

There will be a vertical shift and a horizontal shift.

*f* is translated 2 units left and 3 units down to obtain *g*.

To get the second graph, the first graph is vertically stretched by factor of 3, reflected

across the *x*-axis, and translated left 71 units.