7.2 Review Worksheet (continued)
Graph each exponential function. Find the y -intercept and the asymptote. Describe how the graph is transformed from the graph of its parent function. 30. 31. 32. = g x ( ) 4 x = h x ( ) 0.25 x =− j x ( ) 0.25 x
1 2
1 2
1 2
x 2
x
x
−
−
1 2
1 2
1 2
33.
34.
35.
n x ( )
4
k x ( )
= m x ( ) 4
=−
=−
Graph each logarithmic function. Find the asymptote. Describe how the graph is transformed from the graph of its parent function. 36. g ( x ) = ln( x − 5) 37. 38. m ( x ) = − 4log x = + − h x x ( ) log( 3) 2
4 5
Write each transformed function. 39. The function f ( x ) = f x ( )
x is translated 4 units right, reflected across the x -axis, and vertically
1 2
stretched by a factor of 1.5.
40. The function f ( x ) = ln x is translated 3 units left, vertically stretched by a factor of 1 4 and translated 0.5 units down.
41. The function f ( x ) = e x is horizontally stretched by a factor of 3, reflected across the y -axis, and translated 1 unit up.
150
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