the functions f (x) =x squared and g (x) = - f (x+2) - 5 are graphed on the same corddionate grid which staments are true choose 3 answers

Answer 1

I imagine we're dealing with function transformations here. f(x) represents the parent function, while g(x) represents the transformed function.

The term f(x+2) means that g is a leftward shift of f by 2 units.

The negative sign in front of f(x+2) means that g is a reflection of f over the x-axis.

The -5 at the end of g means that g is a vertical shift downwards of 5 units of f.

In summary, the transformations from f to g are:

1. Left 2 units
2. Reflection over the x-axis
3. Down 5 units

Hopefully this was helpful.

Answer 2

as f(x) = x² , g(x) = - f(x+2) - 5

then, g(x) = - (x+2)² -5

then, the transformations from f to g are:

1. Reflection over the x-axis | as the negative sign of the quadratic function coefficient -(x+2)²
2. Shift 2 units to the left | due to the positive sign +2 under the square root.
3. Shift 5 units down | due to the negative sign of the absolute term ( - 5 ).