Answer:
Option (B)
Step-by-step 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 = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{2-0}{2-4}[/tex]
= -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.
