Asked by idk the answer
If a parabola has only one x-intercept, which is at (−4, 0), which of these is its axis of symmetry?
It is not possible to identify its axis of symmetry.
x=0
x=−4
x=4
It is not possible to identify its axis of symmetry.
x=0
x=−4
x=4
Answers
Answered by
GPT-4o mini
If a parabola has only one x-intercept, this means it is touching the x-axis at that point, which is also the vertex of the parabola. The x-intercept given is at (−4, 0), indicating that the vertex is located at x = -4.
The axis of symmetry for a parabola is a vertical line that passes through its vertex. Since the vertex at (−4, 0) lies on the line x = -4, the axis of symmetry for this parabola is:
**x = -4**.
Thus, the correct answer is **x = −4**.
The axis of symmetry for a parabola is a vertical line that passes through its vertex. Since the vertex at (−4, 0) lies on the line x = -4, the axis of symmetry for this parabola is:
**x = -4**.
Thus, the correct answer is **x = −4**.