12 terms

Transformations of Exponential Functions

identify characteristics and transformations of exponential functions
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f(x) = -(3)^x
reflection across the x-axis, base is 3, a is 1, growth
g(x) = 4^(x-2)
horizontal shift to right 2 units, base is 4, a is 1, growth
h(x) = (1/2)^x+3
vertical shift up 3 units, base is ½, a is 1, decay
f(x) = (1/2)^-x
reflection across the y-axis, base is ½, a is 1, decay
f(x) = -(2^x) - 7
reflection across the x-axis, vertical shift down 7, base is 2, a is 1, growth
f(x)=2^(x+2)
horizontal shift left 2 units
f(x) = -(2^x)
reflects across the x-axis
f(x) = 2^x + 1
vertical shift up one unit
f(x) = 2^-x+3
reflects across the y-axis and shifts up three units
f(x) = 3 ∙ 2^x
stretches by a factor of 3
f(x)=1/2 ∙ 2^x
shrinks by a factor of ½
f(x)=-(1/2)^x - 6
reflects across the x-axis and shifts down 6 units