Identify the vertex and axis of symmetry of the function f(x) = -(x + 1)^2 + 2 *
x = -1; (-1, 2)
x = 1; (1, 2)
x = -2; (2, -1)
x = 2; (2, 1)

x = -1; (-1, 2)

Step-by-step explanation:

f(x) = -(x + 1)^2 + 2

This is in vertex form

y = a(x-h)^2 +k  where the vertex is (h,k) and the axis of symmetry is x=h

f(x) = -(x -  -1)^2 + 2

Axis of symmetry is x=-1

Vertex is (-1,2)

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)