[tex](-1,-2) \: \: \: \: \: and \: \: \: \: \: (3,6) \\ Answer: A[/tex]
Step-by-step explanation:
[tex]y = 2x \\ y = {x}^{2} - 3 \\ \\ 2x = {x}^{2} - 3 \\ {x}^{2} - 2x - 3 = 0 \\ (x + 1)(x - 3) = 0 \\ x + 1 = 0 \: \: \: \: \: or \: \: \: \: \: x - 3 = 0 \\ x = - 1 \: \: \: \: \: or \: \: \: \: \: x = 3[/tex]
When x = -1
Substitute x = -1 into y = 2x
y = 2(-1)
y = -2
( -1, -2)
When x = 3
Substitute x = 3 into y = 2x
y = 2(3)
y = 6
( 3, 6)
