Answer:
d) -8
Step-by-step explanation:
Given the axis of symmetry along x = -3, and one of the x-intercepts at (2, 0):
The vertex of a parabola is the point at which the graph intersects the axis of symmetry, which is the imaginary straight line that divides a parabola into two symmetrical parts. The x-coordinate of the vertex, (h, k) is where the axis of symmetry is located. Thus, x = h.
Since the axis of symmtery is represented by x = -3, then it means that the x-intercepts will be equidistant (in either direction) from the axis of symmtery.
The x-intercept (2, 0) is 5 horizontal units to the right of x = -3.
The other x-intercept must also be 5 horizontal units to the left of x = -3:
x-intercept: x = - 3 + (- 5) = -8
Therefore, the other x-intercept is (-8, 0), or at x = -8.
