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 determine the y-intercept and vertex of the parabola, we first need to understand their definitions:

• The y-intercept is the point where the parabola intersects the y-axis. This is when \(x = 0\).
• The vertex is the highest or lowest point on the parabola, depending on its orientation (opening upwards or downwards).

Since I don't have the actual image of the parabola that you referenced, I'll guide you on how to identify these points:

1. Finding the y-intercept:

   • Look for the point where the parabola crosses the y-axis. This will occur at the value of \(y\) when \(x = 0\). Once you find this point, the y-intercept will be in the form of \((0, y)\).

2. Finding the vertex:

   • The vertex can be found by locating the peak (if the parabola opens downwards) or the trough (if it opens upwards) of the curve. The coordinates of the vertex will be in the form \((x, y)\) where \(x\) is the horizontal coordinate of the vertex and \(y\) is its vertical coordinate.

Once you have these values from the image, you can fill in the blanks accordingly.

If you can provide the specific points from the graph, I can help you format the answer properly!