The function p(x) is mapped to i(x) by a dilation in the following graph.
parabola p of x passes through (negative 1.5, 0), (2, negative 3) & (5.5, 0). parabola i of x passes through (negative 1.5, 0), (2, negative 6) & (5.5, 0).
which answer gives the correct transformation of p(x) to get to i(x)?
i(x)=2p(x)
i(x)=1/2p(x)
i(x)=p(1/2x)
i(x)=p(2x)

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