Question

Help me please asap !!!

Answer 1

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 = $\frac{y_2-y_1}{x_2-x_1}$

   = $\frac{2-0}{2-4}$

   = -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.