Help me please.

g(x) = (x-8)^2 - 5

Step-by-step explanation:

subtracting from x inside of the square translates the function to the right and adding to x inside of the square translates it to the left.

(x-8)^2 - 1  translates the function 8 units to the right

subtracting from the constant translates the function down and adding translates it up.

x^2 - 5 translates the function 4 units down

Therefore, (x-8)^2 - 5 translates the function 8 units to the right and 4 units down

answer: 88

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)