Which of the following is the equation of g(x) if the parent function is f(x) = x2 and a = 3, h = -5, and k = 6?
a. f(x) = 3(x - 5)2 + 6
b. f(x) = -3(x + 5)2 + 6
c. f(x) = 3(x + 5)2 + 6
d. f(x) = 3(x - 5)2 - 6

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

the first one

step-by-step explanation:

just id the test.

something over 10 so ? /10

step-by-step explanation: