Question

Ex 2 Name the following features for the function:

`y=-\left(x+2\right)^{2}-5`



a) What is th

Answer 1

It looks like your question was cut off, so I’ll list the common features for the parabola y = −(x + 2)^2 − 5. Tell me if you wanted something else.

- Vertex: (−2, −5) (from y = a(x − h)^2 + k with h = −2, k = −5)
- Axis of symmetry: x = −2
- Direction: opens downward (a = −1 < 0)
- y-intercept: (0, −9) since y = −(0+2)^2 − 5 = −9
- x-intercepts (real): none (solve 0 = −(x+2)^2 − 5 → (x+2)^2 = −5, no real solutions)
- Domain: all real numbers (−∞, ∞)
- Range: y ≤ −5, i.e. (−∞, −5]

If you meant a specific part (a), (b), etc., or want a sketch, let me know which part to answer.