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Graphing Exponential Functions Using Transformations Worksheet
Just as with other parent functions we can apply the four types of transformationsshifts reflections stretches and compressionsto the parent function fxbx without loss of shape. Any transformation of y bx is also an exponential function.
Graphs Of Exponential Functions Precalculus
Graphs Of Exponential Functions Precalculus
Exponential Functions Gizmo Explorelearning
For those that are not explain why they are not exponential functions.
Graphing exponential functions using transformations worksheet. Doing so allows you to really see the growth or decay of what youre dealing with. Graphing an exponential function with a vertical shift an exponential function of the form fx b. Write transformations of graphs of exponential and logarithmic functions.
T q zagl8ly or7imgvhmtmsv 3reefsnesrfvne ed0. 8 b8. The basic parent function of any exponential function is fx bx where b is the base.
C8 d8. The constant k is what causes the vertical shift to occur. Use transformations to graph exponential functions use compound interest formulas an exponential function f with base b is defined by f or x bx y bx where b 0 b 1 and x is any real number.
It looks like this. K is an exponential function with a vertical shift. Graph exponential functions using transformations.
Graphing an exponential function is helpful when you want to visually analyze the function. Then graph each function. Algebra 2 graphing exponential functions worksheet worksheets for.
Graphing exponential functions using transformations worksheet we found some images about graphing exponential functions using transformations worksheet. Also note that as the graph continues farther toward negative infinity. Similarly the graphs of exponential equations have a general shape.
For instance the general shape of the graph of is a parabola and the general shape of the graph of is a. You can transform graphs of exponential and logarithmic functions in the same way you transformed graphs of functions in previous chapters. Note that the graph has a curved shape.
T i 5m za bdbe m zw ai jt mhi wisn nfmi2n qiktre 1 xaeluguekbvr7ad d29h worksheet by kuta software llc kuta software infinite algebra 2 name graphing exponential functions date period sketch the graph of each function. Determine which functions are exponential functions. Examples of transformations of the graph of f x 4x are shown below.
Transformations of exponential graphs behave similarly to those of other functions. Exponential transformations worksheet 4 write the equation for the function that results from each transformation applied to the base function 13 a reflect in the x axis vertical reflection b stretch vertically by a factor of 3 c stretch horizontally by a factor of 24 d reflect horizontally stretch vertically by factor of 4.
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