Cos Ф - cos Ф.sin² Ф
sin² Ф = 1 - cos² Ф
cos Ф - cos Ф( 1-cos² Ф) = cos Ф - cos Ф - cos³ Ф = cos³ Ф
cos Ф - cos Ф.sin² Ф = cos³ Ф
The equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Given a quadratic function for the transformations given the function f(x) = x²
If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value
- Translating the graph 1 unit up will give the final function g(x) as (x-4)² + 1 (We added 1 since it is an upward translation.)
Hence the equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Learn more here: brainly.com/question/15381183
Answer:
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Step-by-step explanation:
Paul can type 60 words per minute and Jennifer can type 80 words per minute. Paul typing speed / Jenifer typing speed = 60/80 = 3/4. Paul type 3/4 as fast as Jennifer. Log in for more information.
Answer:
Step-by-step explanation:
hello :
hello :
1) divid by 3 : 27:9= 9/3
2) 9/3 = 3/1
