Could someone please explain how to write an equation.
Write an equation for the following transformation of y=x; a vertical stretch by a factor of 4.
I'm not sure but this is what I tryed
y=f(x)
vertical stretch 4
y=f(x+4)
y=4
no,
a vertical stretch of 4 for y = x would give us
y = 4x
e.g. suppose you have (2,2) on the first graph.
That point lies 2 units above the x-axis, you want to "stretch" that by a factor of 4, so it would be 8 units high
in y = 4x, when x = 2, y = 8
(your equation of y = f(x+4) would be a horizontal shift of 4 units to the left )
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.