Question

What are the x-intercepts of the parabola with vertex (1,-6) and y-intercept (0,-15)?

A) (0,0)
B) (2,-6)
C) (2,-15)
D) (1,-15)

Answer 1

The x-intercepts of the parabola are (0,-15) and (2,-15).

Step-by-step explanation:

To find the x-intercepts of the parabola, we need to determine the values of x when the y-coordinate is 0. Since the parabola's vertex is (1,-6) and the y-intercept is (0,-15), we know that the parabola opens upwards.

Therefore, the x-intercepts will occur at the same y-coordinate as the y-intercept. So, the x-intercepts are (0,-15) and (2,-15). Hence, the answer is D) (1,-15).