Question

y = - (x + 3)² + 5 Step 3: Identify the axis of symmetry: x = h x=3 x= -3 y = 5 y = -3

Answer 1

In the given equation:

$\text{ y = -(x + 3)}^2\text{ + 5}$

The equation already in vertex form,

$\text{ y = a(}x-h)^2\text{ + k}$

The axis of symmetry is h.

From the equation,

$\text{ y = -(x + 3)}^2\text{ + 5}$

The axis of symmetry is therefore,

$\text{ x + 3 = 0 }\rightarrow\text{ x }=\text{ -3}$