Transformations of Functions NC Math 4

What is a transformation?

Transformation of f(x) = x to g(x) = f(x) - 6

How did the equation shift from the parent function? y=(x-3)+5

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

What equation represents the quadratic function? Options: y = (x - 8)², y = (x + 8)², y = x² - 8, y = x² + 8

What equation represents the quadratic function? Options: y = (x - 5)² - 3, y = (x - 5)² + 3, y = (x + 5)² - 3, y = (x - 3)² - 5

If $$g(x)$$ is a transformation of $$f(x)$$ , describe the transformation.

$$f(x)=2^x$$      $$g(x)=2^x+4$$   

If g(x) is a transformation of f(x), describe the transformation.
$$g\left(x\right)=0.5^{x-3}$$
$$f\left(x\right)=0.5^x$$

If g(x) is a transformation of f(x), describe the transformation. $$g\left(x\right)=\left(2\right)0.25^x$$ $$f\left(x\right)=0.25^x$$ Options: Horizontal stretch, Horizontal compression, Vertical stretch, Vertical compression