12 terms

identify characteristics and transformations of exponential functions

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