2x = x2 + 4x - 3 x2 + 2x - 3 = 0 (x - 1)(x - 2) = 0
3
x2+3=124 x2=121 x= square root(121) x=11
-x2 = x - 6 x2 + x - 6 = 0 (x - 2)(x + 3) = 0 x ∈ {-3, 2}
x2 + 2x - 15 = (x - 3)(x + 5)
If: x2 = 3 Then: x = square root of 3
2x = x2 + 4x - 3 x2 + 2x - 3 = 0 (x - 1)(x - 2) = 0
No translation will invert a quadratic graph.
3
x2+3=124 x2=121 x= square root(121) x=11
-x2 = x - 6 x2 + x - 6 = 0 (x - 2)(x + 3) = 0 x ∈ {-3, 2}
x2 + 2x - 15 = (x - 3)(x + 5)
-4
In general, no.
y = 4x-3
x2 + 6x + 12 = 0 x2 + 6x + 9 = -3 (x + 3)2 = -3 x + 3 = ± √-3 x = -3 ± i√3
x2 + x2 = 2x2