Transformation of
Functions
Functions
A point on a graph (4,5), becomes (4, 2) after a transformation of the function.
What is a vertical shift down
The inverse of 3x + 8
What is (x - 8 // 3)
The exponential form of loga(b) = c
What is ac = b
The Domain of the function x + 1 // 2 - x
What is (-infinity, 2)U(2, infinity)
The transformation applied to function f that results in -f(t).
What is vertical reflection/reflection over x-axis
A special function that maps every function in the range to exactly one element in the domain
What is one-to-one
The logarithmic property that simplifies a log function by changing the exponent into a coefficient
What is power rule
The Domain of (x - 3 // x2 + 9x - 22)
What is (-Infinity, -11)U(-11, 2)U(2, Infinity)
The transformations present in the function:
7(x - 5)2 + 1
What are Vertical shift up 1, horizontal shift right by 5, and vertical stretch by 7
The inverse of 5x3
What is 3sqrt(x/5)
ln e56
What is 56
The average rate of change of 4x2 - 7 over [1, b]
What is 4(b + 1)
The form of the function y = 6 - 11x after only the first transformation has been applied.
What is 6 + x
The relationship between the graphs of a function and its inverse?
What is reflection over y = x
log3(9) - log3(27)
What is -1
An act of a function that describes when the output decreases as input decreases over a specific interval.
What is interval of decreasing function
The function y = (1 / x) is horizontally stretched by a
factor of 8, then shifted to the right 5 units and then reflected over the y-axis
What is 1 / -8x - 5
The inverse of x + 3 // x + 4
What is 4x - 3 // 1 - x
The expanded form of ln (xu6 / 6)
What is ( ln(x) + 6ln(u) ) - ( ln(2) + ln(3) )
The domain of the function log(3-5x)
What is (-infinity, 3/5)