Let's analyze the graph and answer the questions.

1. X-intercept:

The x-intercept is the point(s) where the graph crosses the x-axis. At these points, the y-coordinate is 0. From the graph, the curve does not cross the x-axis at any point, meaning there is no x-intercept.

• X-intercept: DNE (Does Not Exist)

2. Y-intercept:

The y-intercept is the point where the graph crosses the y-axis. At this point, the x-coordinate is 0. From the graph, the curve crosses the y-axis at $y = 1$.

• Y-intercept: $(0, 1)$

3. Type of symmetry:

This is a standard parabolic graph that opens upwards. Parabolas of this type are symmetric with respect to the y-axis. So, the graph exhibits y-axis symmetry.

• Symmetry: y-axis

Do you need any further explanation on these answers?

Related Questions:

1. What is the equation of the parabola based on the graph?
2. What is the vertex of the parabola?
3. How can you determine the axis of symmetry from the equation of a parabola?
4. If the parabola were shifted up or down, how would it affect the intercepts?
5. How does the coefficient of the quadratic term affect the shape of the parabola?

Tip:

Always check where the graph crosses the axes to determine the intercepts clearly. Symmetry can often be inferred from the graph's shape, particularly for standard curves like parabolas.