Hi,
I am just confuse on verifying some parts when transforming an equation on the graph
For instance, if you were going to graph y=x2
How would you describe how this graph differs: 2(3x-12)2-5
Would this answer me correct?
Vertical Stretch by a factor of 2
Horizontal Expansion by a factor of 3 (By the way, are compression and expansion the same meaning?)
Translate 12 units right
Translate 5 units down
So if you had like 2(-3x-12)2-5, it would be reflection across the y-axis right?
While a -2(3x-12)2-5 would be a reflection across the x-axis?
So just making sure if I got the hang at the top part first.
What I really am confuse with is horizontal compress and shrink
So if I had like this which asks me to create an equation like y=|x|, then transform it by these series of steps
1)Horizontally compress by a factor of 2
2)Horizontally shift to the left by 2
3)Vertically stretch by a factor of 7
4)Vertically Shift up 2 units
It would be 7|2x+4|+2 right? When it says compress, you would multiply everything on the inside by 2?
Can someone also give me an example of horizontal compress and shrink? Like any make up equation, because I'm wondering, does horizontal shrink mean when it is less than 1? Like a fraction.
While if you had something like this
1)Horizontally shift to the right 2 units
2)Horizontally compress by a factor of 3
I'm assuming it would be |3x-6|, am I right?
Sorry, 1 more question
Begin with the function y=f(x)=2x
Rewrite the following function in standard exponential form: 3f(2(x-1)).
So since f(x)=2x, you would plug 22 into x?
So I did 3(22(x-1)) which then turns into 3(1/4 4x)?
Is this correct?
Sorry thanks
This seems kind of long
If anyone has the time, can you explain to me the difference between horizontal compression, expansion, and stretch?
They all seem like the same to me, but I usually thought stretch would be outside the lines and paranthesis, while compression and expansion are inside the lines and paranthesis (The lines |, and Paranthesis ( ))
I am just confuse on verifying some parts when transforming an equation on the graph
For instance, if you were going to graph y=x2
How would you describe how this graph differs: 2(3x-12)2-5
Would this answer me correct?
Vertical Stretch by a factor of 2
Horizontal Expansion by a factor of 3 (By the way, are compression and expansion the same meaning?)
Translate 12 units right
Translate 5 units down
So if you had like 2(-3x-12)2-5, it would be reflection across the y-axis right?
While a -2(3x-12)2-5 would be a reflection across the x-axis?
So just making sure if I got the hang at the top part first.
What I really am confuse with is horizontal compress and shrink
So if I had like this which asks me to create an equation like y=|x|, then transform it by these series of steps
1)Horizontally compress by a factor of 2
2)Horizontally shift to the left by 2
3)Vertically stretch by a factor of 7
4)Vertically Shift up 2 units
It would be 7|2x+4|+2 right? When it says compress, you would multiply everything on the inside by 2?
Can someone also give me an example of horizontal compress and shrink? Like any make up equation, because I'm wondering, does horizontal shrink mean when it is less than 1? Like a fraction.
While if you had something like this
1)Horizontally shift to the right 2 units
2)Horizontally compress by a factor of 3
I'm assuming it would be |3x-6|, am I right?
Sorry, 1 more question
Begin with the function y=f(x)=2x
Rewrite the following function in standard exponential form: 3f(2(x-1)).
So since f(x)=2x, you would plug 22 into x?
So I did 3(22(x-1)) which then turns into 3(1/4 4x)?
Is this correct?
Sorry thanks
This seems kind of long
If anyone has the time, can you explain to me the difference between horizontal compression, expansion, and stretch?
They all seem like the same to me, but I usually thought stretch would be outside the lines and paranthesis, while compression and expansion are inside the lines and paranthesis (The lines |, and Paranthesis ( ))