Answer:
The correct answer is B. X.
Step-by-step explanation:
To determine which graph represents the given radical function, let's first analyze the characteristics provided:
The function passes through three points: (-5, 1), (3, -1), and (6, -2.5).
It intercepts the x-axis at 2 units and the y-axis at 0.5 units.
Based on these characteristics, we can eliminate graphs W and Z since they don't satisfy the given points.
Now, let's consider the intercepts:
The function intercepts the x-axis at 2 units and the y-axis at 0.5 units.
Looking at the remaining graphs (X and Y), both of them have the correct x-intercept (2 units) and y-intercept (0.5 units).
Next, let's see which graph satisfies the given points:
Graph X passes through (-4, -1), (3, 1), and (6, 2.5).
Graph Y passes through (-6, -0.5), (-2, 2), and (5, 3).
Comparing these points with the given ones:
Graph X: (-4, -1), (3, 1), and (6, 2.5) - Matches the given points.
Graph Y: (-6, -0.5), (-2, 2), and (5, 3) - Does not match the given points.
Therefore, the correct answer is B. X.