Sure! I can explain how to write an equation and also help you with the specific problem.
To write an equation, you need to express a relationship between variables using mathematical symbols and operations. In algebra, equations typically involve an equal sign (=) and one or more variables. The goal is to find the value(s) of the variable(s) that satisfy the equation.
Now, let's solve the problem at hand: writing an equation for the vertical stretch of the function y = x by a factor of 4.
When a function is vertically stretched by a factor of k, the y-values are multiplied by k. In this case, we want to stretch the function by a factor of 4.
To incorporate this stretch into the equation, we multiply the entire expression for y by 4. The equation becomes:
y = 4x
This equation represents the transformation of y = x, where every y-value is now four times larger than its corresponding x-value.
I hope this explanation helps! Let me know if you have any further questions.