If f(x) = x² is transformed to f(x – 5) +8. Which of the following describes the transformation? A. Translation of 8 units to the right and 5 units down
B. Translation of 8 units to the left and 5 units up
C. Translation of 5 units to the right and 8 units up
D. Translation of 5 units to the left and 8 units down

the answer is Translation of 5 units to the right and 8 units up

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15