Question

Identify the axis of Symmetry for the following graph



(3 points)
Responses

x = 1
x = 1

x = 3 and x = -1
x = 3 and x = -1

y = 9
y = 9

y = 1

Answer 1

To determine the axis of symmetry for a graph, we usually look for a vertical line that divides the graph into two mirror-image halves. For a quadratic function in the form \( y = ax^2 + bx + c \), the axis of symmetry can be found using the formula:

\[
x = -\frac{b}{2a}
\]

If you have specific points or a graph in mind, I can help identify the axis more accurately. However, based on the options provided, it seems we may be looking for the correct answer based on a simple analysis without additional context.

Please note:

- The axis of symmetry cannot be a vertical line where \( y \) is constant (as in \( y = 9 \) or \( y = 1 \)).
- The option "x = 3 and x = -1" would suggest there are two axes of symmetry, which is not possible for a simple function.

Among the options available, the most reasonable choice, given no context, is:

- **x = 1** (assuming the graph is symmetrical around this vertical line).

If you have the specific quadratic function or more information about the graph, please provide that, and I can assist more accurately.