write an equation for the following transformation of y=x; a vertical stretch by factor of 4. please help.
can someone explain how to find answer
Y=4x
To find the equation for a vertical stretch by a factor of 4 of the equation y = x, you can follow these steps:
1. Start with the original equation, y = x.
2. Apply the vertical stretch by multiplying the y-coordinate by the scaling factor, which is 4 in this case. The scaling factor always goes with the y-coordinate because it indicates the vertical change.
3. Rewrite the equation using the new y-coordinate. The x-coordinate remains the same.
4. The equation for the vertical stretch by a factor of 4 of y = x is: y = 4x.
So, the equation for the transformation is y = 4x.
To obtain the equation for a vertical stretch, you need to multiply the y-values (output) of the original function by a certain factor. In this case, the factor is 4.
The equation for the original function is y = x. To vertically stretch this function by a factor of 4, multiply the y-values by 4 to get the new equation.
The final equation is y = 4x.