Based on your question, it seems like you need help visualizing and understanding the transformations that occurred to the equation y = x when it was transformed into different equations. Here are the steps to graph each transformation using Desmos:
1. y = x: This is the original equation, which represents a straight line passing through the origin with a slope of 1. To graph this on Desmos, simply type "y = x" in the input line and press enter.
2. y = 3x: This transformation multiplies the x-values by 3. To graph this, go to Desmos and edit the original equation to "y = 3x". You will see that the line becomes steeper, since the slope is now 3.
3. y = x + 2: This transformation adds 2 to all the y-values. To graph this, modify the original equation to "y = x + 2" in Desmos. You will notice that the whole line has shifted upward by 2 units.
4. y = 3x + 2: This transformation combines both multiplying the x-values by 3 and adding 2 to the y-values. Edit the equation in Desmos to "y = 3x + 2" to graph this. The line now becomes steeper and has shifted upward by 2 units.
5. y = 1/3x - 5: This transformation involves dividing the x-values by 3 and subtracting 5 from all the y-values. To graph this, enter "y = 1/3x - 5" in Desmos. You will observe that the line becomes shallower and has shifted downward by 5 units.
By following these steps, you should be able to graph and visualize each transformation in Desmos.
SHOW ALL WORK! Use your Desomos to graph - write the Transformation that happened to y = x.
y = x
y = 3x
y = x + 2
y = 3x + 2
y = 1/3x - 5
What do I need help with?
1 answer