Question

Help me please asap !!!

Answer 1

Option (B)

Explanation:

Vertex of the given parabola → (0, 4)

Equation of the parabola with vertex (0, 4)

y = (x- 0)² + 4

y = x² + 4

Domain of this function is x < 2

Therefore, y = x² + 4 x < 2

Slope 'm' of the line passing through (4, 0) and (2, 2),

m =
`(y_2-y_1)/(x_2-x_1)`

=
`(2-0)/(2-4)`

= -1

Equation of the line passing through (4, 0) and slope 'm' = -1

y - 0 = (-1)(x - 4)

y = -x + 4

Domain : x ≥ 2

Therefore, function will be, y = -x + 4 x ≥ 2

y = x² + 4 x < 2

-x + 4 x ≥ 2

Option (B) will be the answer.