Use the image to answer the question.

Question

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 2 to 4 in increments of 1. The y-axis ranges from negative 8 to 2 in increments of 1.

Identify the y-intercept and vertex of the parabola.

(1 point)
vertex: ( ___
)

y-intercept: ( ___
)

Answer 1

To identify the vertex and the y-intercept of the parabola based on your description, we can follow these general definitions:

1. Y-intercept: This is the point where the parabola crosses the y-axis. At this point, the x-coordinate is 0.

2. Vertex: The vertex is the highest or lowest point of the parabola, depending on the direction it opens.

Since I cannot see the image, I can provide you with instructions on how to find these points on a graph:

• Y-intercept: Find the point where the parabola intersects the y-axis. Look for the coordinates of this point; it will be in the form (0, y) where you will read the y-value from the graph.

• Vertex: Locate the peak (if the parabola opens downwards) or the trough (if it opens upwards) of the parabola. The coordinates of this point will be in the form (x, y), where x is the horizontal value and y is the vertical value at that peak or trough.

Please examine the graph and identify these two points. Once you have found the coordinates, you could fill in the blanks like this:

vertex: (x, y)

y-intercept: (0, y)

If you are able to provide specific details about the points, I can help you further!

Answer 2

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 2 to 4 in increments of 1. The y-axis ranges from negative 8 to 2 in increments of 1.

Answer 3

Thank you for providing more context about the graph's range. However, without the visual of the parabola either as a numerical equation or a specific description of its configuration (the direction it opens, specific points on the curve, etc.), I can't give you the exact coordinates of the vertex and y-intercept.

That said, I can guide you on how to determine these features if you have access to the graph:

1. Finding the Y-Intercept:

   • Locate where the parabola intersects the y-axis (where x = 0).
   • Read off the y-coordinate at this point, which gives you the y-intercept. It will be expressed as (0, y).

2. Finding the Vertex:

   • Determine the highest or lowest point of the parabola.
   • Read the x-value and the y-value of this point to get the coordinates of the vertex. It will be expressed as (x, y).

If you find the specific coordinates from the graph, please share them, and I can help you format them properly. Alternatively, if you describe specific points or characteristics of the parabola, I can assist you better!