# Math

What are the transformations of:
f(x)=-log(2-x)+3

1. 👍 0
2. 👎 0
3. 👁 72
1. Our parent function for log is log (x), so how does your function differ?

1) The leading negative sign. This reflects rhe function across the x-axis.

2) The (2 - x) inside the log function. Note that this is actually two transformations because 2 - x is equivalent to -x + 2. A negative sign inside the log function flips the function across the y-axis and a shift inside the log function shifts the function opposite of the sign direction. +2 therefore shifts the function LEFT 2 units.

3) The +3 outside the log function simply is a vertical shift in the direction of the sign, so up 3 units.

1. 👍 0
2. 👎 0
posted by Alex

## Similar Questions

1. ### math

Beginning with the function f(x) = log a^x, state what transformations were used on this to obtain the functions given below: (6 marks) p(x) = - 5/8 loga^x r(x) = log a(5 - x) t(x) = 2 log a^2x

asked by darshi on May 31, 2012
2. ### math

Beginning with the function f(x) = log a^x, state what transformations were used on this to obtain the functions given below: (6 marks) p(x) = - 5/8 loga^x r(x) = log a(5 - x) t(x) = 2 log a^2x

asked by darshi on June 1, 2012
3. ### math

Logarithm!!! Select all of the following that are true statements: (a) log(2x) = log(2) + log(x) (b) log(3x) = 3 log(x) (c) log(12y) = 2 log(2) + log(3y) (d) log(5y) = log(20y) – log(4) (e) log(x) = log(5x) – log(5) (f) ln(25)

asked by Simon on April 16, 2010
4. ### Mathematics

Prove that log a, log ar, log ar^2 is an a.p. Is the following below correct? Log ar^2 - Log ar= Log ar - Log a hence applying laws of logarithm Log(ar^2/ar) = log(ar/a) Log and log cancels out and then cross-multiply hence a^2r^2

asked by Anonymous on July 15, 2009
5. ### log graph

How do you graph y= -log (base 5)(-x)? The written question is: Sketch above equation by first describing the transformations performed on the equation y= log (base 5)(x) And what is the inverse function? x=log (base 5)(y)?

asked by Ali on November 1, 2010
6. ### graphing

How do you graph y= -log (base 5)(-x)? The written question is: Sketch above equation by first describing the transformations performed on the equation y= log (base 5)(x) And what is the inverse function? x=log (base 5)(y)?

asked by Ali on November 1, 2010
7. ### log equation graph

How do you graph y= -log (base 5)(-x)? The written question is: Sketch above equation by first describing the transformations performed on the equation y= log (base 5)(x) And what is the inverse function? x=log (base 5)(y)?

asked by Ali on November 1, 2010
8. ### Algebra 2

solve for x: 3^2x+3=7^x+1 I did 2x+3=log0f3(7)+ logof3(7) (2-log of 3(7))x=log of 3(7)-3 x=log of 3 (7)+log of 3 (3^-3)/log 0f 3 (3^2)-log of 3 (7) x=log of 3 (7-1/3^3)/log of 3(9/7) log of 3(7/27)/log of 3(9/7) answer log of

asked by sara on March 3, 2019
9. ### math

write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of x) please show the steps to solving this. thanx. remember that 1 log (AxB) = log A + Log B (same base) 2 log (A/B) = log A - log B 3 log A^n = n log A use

asked by michelle on February 25, 2007
10. ### Algebra 2 once more

I have more answers that I would like checked. Also, there is one that I'm really confused about. I appreciate any help. :) Rewrite as the log of a single number. 1) 8 ln 2 = ln(2^8) 2) log 42 - log 6 = log 36 (I think this one

asked by Lindsay on May 23, 2007

More Similar Questions