Answer to Question #299589 in Algebra for Alo

Question

determine the transformations of the function f(x)=−4x+1 from the parent function.

Answer 1

The parent function is $g(x)=x.$

Stretch the graph of $y=g(x)$ vertically by a factor of $4$

$$h(x)=4x$$

Reflect the graph of $y=h(x)$ in the x-axis

$$u(x)=-4x$$

Shift the graph of $y=u(x)$ upward $1$ unit

$$f(x)=-4x+1$$