Describe the transformation that maps the pre-image A to the image A'.
A. translated 8 units up and then reflected across the y-axis
B. translated 8 units down and then reflected across the y-axis
C. translated 1 unit to left and then rotated 180° counterclockwise about the
origin
D. translated 1 unit to right and then rotated 180° counterclockwise about
the origin

c)

Step-by-step explanation:

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)