Question

1. The figure below shows a graph of the function of f(x) in the coordinate plane.



(6 points)
Part A:

Identify the following key features of the graph:

A. Vertex: (
,
)

B. Axis of symmetry : x=

C. y-intercept: (0,
)

C. x-intercepts from left to right: (
, 0) and (
, 0).

Question 2
Part B:

Answer 1

It appears that you are referring to a specific graph of a function \( f(x) \) that is not visible in the text. To accurately identify the key features of the graph, I would need either a description of the graph or the graph itself.

However, I can explain how to determine the key features of a quadratic function, as they often appear in graph problems. Here’s a brief overview of how to find the vertex, axis of symmetry, y-intercept, and x-intercepts of a quadratic graph in general:

### Part A: Key Features of the Graph

1. **Vertex**:
- For a quadratic function in standard form \( f(x) = ax^2 + bx + c \), the vertex can be found using the formula:
\[
x = -\frac{b}{2a}
\]
- Once you find \( x \), substitute it back into the function to find \( f(x) \), which gives the vertex coordinates \((x, f(x))\).

2. **Axis of Symmetry**:
- The axis of symmetry is the vertical line that passes through the vertex, which can be represented as:
\[
x = -\frac{b}{2a}
\]

3. **y-intercept**:
- The y-intercept occurs where \( x = 0 \). To find it, calculate \( f(0) \). The coordinates of the y-intercept will be \((0, f(0))\).

4. **x-intercepts**:
- The x-intercepts can be found by solving the equation \( f(x) = 0 \). Graphically, these are the points where the graph crosses the x-axis, and their coordinates will be \((x_1, 0)\) and \((x_2, 0)\).

### Part B:
If you have specific elements of the graph or a description, please provide that information, and I can assist you further with calculating the values mentioned.