Respuesta :
Answer:
[tex]f(x)=-4x[/tex]
Step-by-step explanation:
We have been given the equation of the linear parent function as: [tex]f(x)=x[/tex].
We are asked to write an equation of the new function that is vertically stretched by a factor of 4 and flips over the x-axis.
Rule for vertical stretching of a function is:
[tex]a\cdot f(x)[/tex], where a is the factor of stretching.
After stretching our parent function by a factor of 4 our new function will be:
[tex]4*f(x)=4*x[/tex]
Now we will flip or reflect our function over x-axis by the rule: [tex]f(x)=-f(x)[/tex] as reflecting a function over x-axis, its x-coordinate remains same but y-coordinates become negative.
After flipping our function over x-axis our new function will be:
[tex]f(x)=-4x[/tex]
Therefore, after a vertical stretching by a Factor of 4 and flipping over the x-axis, our new function will be [tex]f(x)=-4x[/tex].
Answer:g(x)=-4x
Step-by-step explanation:
this answer works for g(x) too
