Alg 1_Lesson 55 Quiz

The graph shows that f ( x ) = ( 1 /3 ) x is translated horizontally and vertically to get the function g ( x ) = ( 1 /3 ) x − h + k.

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Which statement best describes the effect on the graph of y = ( x − 9 ) 2 if the equation is changed to y = ( x + 9 ) 2?

The graph moves left 18 units.

Which best describes the range of the function f ( x ) = 2 /3 ( 6 ) x after it has been reflected over the x-axis?

all real numbers less than 0

Which is a stretch of an exponential decay function?

f ( x ) = 5 4 ( 4/5 ) x

Which function represents g ( x ), a reflection of f ( x ) = 1 /2 ( 3 ) x across the y-axis?

g ( x ) = 1/2 ( 3 ) − x

Which function represents a reflection of f ( x ) = 5 ( 0.8 ) x across the x-axis?

g ( x ) = − 5 ( 0.8 ) x

Which equation represents a translation 2 units left from the graph of y = (x - 3)^2 - 1

y = ( x − 1 ) 2 − 1

Which equation represents a translation 4 units up from the graph of y = ( x − 3 ) 2 − 1?

y = ( x − 3 ) 2 + 3