Discover the quickest way to Transformation Equation Deed For Free

Aug 6th, 2022
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How to Transformation Equation Deed For Free

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should be probably pretty cool to make sure youre paying attention um for this problem what its asking us to do is to describe the transformation does it ask us to graph yeah okay great so when were first going to describe this transformation the first thing im going to do is im just going to kind of rearrange it to make it so its a little bit more familiar for us so they wrote the constant in front we always like to write the constant in the back so im just going to rearrange it first of all negative x plus 5 squared plus 2. okay i want to write it into the form that im used to now we we have reviewed a lot of the transformations vertical shift up and down weve talked about horizontal shift left and right and weve also talked about reflections and weve done some shrinking and some stretching so when were looking at a problem like this first thing lets do is lets kind of determine what each number is doing so i have to look at this 2 all right and if i remember ill just

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1:10 5:17 We would multiply each y coordinate by a or in this case positive two. And then if a is between zeroMoreWe would multiply each y coordinate by a or in this case positive two. And then if a is between zero and one for example if a is one half or 0.5.
7:32 17:04 All we have to do is multiply. One by the reciprocal of one-third. In other words this is equal toMoreAll we have to do is multiply. One by the reciprocal of one-third. In other words this is equal to one times three over one and thats equal to three. And thats the scale factor.
If the constant is between 0 and 1, we get a horizontal stretch; if the constant is greater than 1, we get a horizontal compression of the function. Given a function y=f(x) y = f ( x ) , the form y=f(bx) y = f ( b x ) results in a horizontal stretch or compression. Consider the function y=x2 y = x 2 .
0:30 7:41 Function translations with desmos - YouTube YouTube Start of suggested clip End of suggested clip So we go to desmos. Will pick up you know like a basic function like lets say the absolute value ofMoreSo we go to desmos. Will pick up you know like a basic function like lets say the absolute value of x. Ok nobody knows that now I want to put the a in front of it ok hey.
0:00 6:24 Find an Equation of the form y=alog(x+c) given a graph - YouTube YouTube Start of suggested clip End of suggested clip Two. Notice the graph got moved to the left two units. Also. Notice however that though my y-MoreTwo. Notice the graph got moved to the left two units. Also. Notice however that though my y-intercept. Is about point three zero one whereas. My y intercept seems to be much higher than point.
5 Steps To Graph Function Transformations In Algebra Identify The Parent Function. Reflect Over X-Axis or Y-Axis. Shift (Translate) Vertically or Horizontally. Vertical and Horizontal Stretches/Compressions. Plug in a couple of your coordinates into the parent function to double check your work.
0:25 1:26 Given the transformations write the equation - YouTube YouTube Start of suggested clip End of suggested clip And remember its always opposite. So thats going to be plus. Two. So a lot of times wed write itMoreAnd remember its always opposite. So thats going to be plus. Two. So a lot of times wed write it looking a little bit better wed do a negative 1 over x plus 2 would be our final answer.
2:12 7:45 We actually have a horizontal compression which we see here by y equals f of two x. And if b isMoreWe actually have a horizontal compression which we see here by y equals f of two x. And if b is between zero and one we have a horizontal stretch which is our case which we see by y equals f of 0.5 x
The graph of y=(0.5x)2 y = ( 0.5 x ) 2 is a horizontal stretch of the graph of the function y=x2 y = x 2 by a factor of 2. The graph of y=(2x)2 y = ( 2 x ) 2 is a horizontal compression of the graph of the function y=x2 y = x 2 by a factor of 2.
The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) b shifts the function b units downward. f (x + b) shifts the function b units to the left. f (x b) shifts the function b units to the right. f (x) reflects the function in the x-axis (that is, upside-down).

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