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}`