Describe the transformation of the parent function f(x) = x2 to the function f(x) = (x – 3)2 + 9.

Inverse of 11(x-3) : x/11+3

Slope of 11(x-3) : m=11

Step-by-step explanation:

= 11(x-3)

= x intercepts (3,0), y intercepts (0,-33)

= Inverse of 11(x-3) : X/11+3

= slope of 11(x-3) : m=11

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