24-25 Alg1 3-7 FLASHCARD - Linear Transformations

What is the linear parent function?

What does the transformation $$g(x) = -f(x) - 3$$ represent?

What does the equation $$g(x) = f(x - 4)$$ do to the graph of f(x)?

Describe the transformation of the function $$y = 3x + 5$$ compared to the parent function.

What does the equation $$g(x) = f(x) + 4$$ indicate about the graph of g?

What does the equation $$g(x) = 3f(x)$$ do to the graph of f(x)?

What does the equation $$g(x) = \frac{1}{3}f(x)$$ do to the graph of f(x)?

What is the effect of a negative sign in front of a function, such as in $$g(x) = -f(x)$$ ?

What does the transformation $$g(x) = f(x) - 2$$ do to the graph of f(x)?

What is the significance of the slope in a linear function?