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CA Folsom Cordova Unified School District Sec 7-7 Transformations On Exp/Log Functions 2015
Get CA Folsom Cordova Unified School District Sec 7-7 Transformations On Exp/Log Functions 2015-2024
Izontal Translation f ( x h) y 2 x 2 , shifts 2 units right y log( x 1) , shifts 1 unit left Vertical Stretch/Compression a f ( x) Reflection across x-axis f ( x) y 3 2x , y is stretched by 3 1 y log x , y is compressed by 2 1/2 y 2 x , flips over x-axis y log x , flips over x-axis Example: Sketch the graph of y 2 x and y log x using a table of values. Then use the graphs to perform the following transformations, showing c.
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Compression FAQ
By adding or subtracting numbers from the logarithm equation or argument, you will shift the graph of the logarithm up, down, left or right. It's easy to do if you remember the rules of transformation. If the transformation is to the left or right, it will affect the domain of the graph but not the range. Graphing Logarithms | Overview, Transformations & Examples - Lesson study.com https://study.com › learn › lesson › graph-logarithms-tra... study.com https://study.com › learn › lesson › graph-logarithms-tra...
The log transformation is, arguably, the most popular among the different types of transformations used to transform skewed data to approximately conform to normality. If the original data follows a log-normal distribution or approximately so, then the log-transformed data follows a normal or near normal distribution. Log-transformation and its implications for data analysis - PMC nih.gov https://.ncbi.nlm.nih.gov › articles › PMC4120293 nih.gov https://.ncbi.nlm.nih.gov › articles › PMC4120293
The logarithmic functions are broadly classified into two types, based on the base of the logarithms. We have natural logarithms and common logarithms. Natural logarithms are logarithms to the base 'e', and common logarithms are logarithms to the base of 10. Logarithmic Functions - Formula, Domain, Range, Graph - Cuemath cuemath.com https://.cuemath.com › algebra › logarithmic-functi... cuemath.com https://.cuemath.com › algebra › logarithmic-functi...
The common application of the logarithmic function is to find the compound interest, exponential growth, and decay, to find the pH level of substance, to know the magnitude of an earthquake, etc. Logarithms are used to know the magnitude of earthquakes.
Summarizing Transformations of Logarithmic Functions Transformations of the Parent Function y=logb(x)TranslationFormReflection about the x-axisy=−logb(x)Reflection about the y-axisy=logb(−x)General equation for all transformationsy=alogb(x+c)+d2 more rows
The logarithmic function, y=logb(x) , can be shifted k units vertically and h units horizontally with the equation y=logb(x+h)+k . If k>0 , the graph would be shifted upwards. If k<0 , the graph would be shifted downwards. If h>0 , the graph would be shifted left. Graphing Logarithmic Functions - Varsity Tutors varsitytutors.com https://.varsitytutors.com › hotmath_help › topics varsitytutors.com https://.varsitytutors.com › hotmath_help › topics
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