Question

d) identify the y-intercept. enter your answer as an ordered pair.
e) graph the quadratic equation by plotting the vertex and one other point.
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Explanation:

Step1: Recall y-intercept definition

The y - intercept of a graph is the point where the graph intersects the y - axis. On the y - axis, the x - coordinate is 0.

Step2: Identify the point on the graph

Looking at the given graph, the vertex (and also the y - intercept as it lies on the y - axis) has an x - coordinate of 0. From the graph, when \(x = 0\), the y - coordinate is 0? Wait, no, wait. Wait, looking at the graph, the vertex is at (0, 0)? Wait, no, wait the blue dot at the bottom of the parabola is at (0, 0)? Wait, no, let's check again. Wait, the grid: the y - axis is the vertical line. The vertex is on the y - axis, so x = 0. The y - coordinate: looking at the grid, the point where the parabola touches the y - axis (the vertex) is at (0, 0)? Wait, no, wait the other point is at (10, 10). Wait, no, let's see the y - intercept: the y - intercept is the point where x = 0. From the graph, the vertex is at (0, 0)? Wait, no, maybe I misread. Wait, the parabola crosses the y - axis at (0, 0)? Wait, no, let's check the coordinates. The vertex is at (0, 0) because it's on the y - axis (x = 0) and the lowest point. So the y - intercept is (0, 0). Wait, but let's confirm. The y - intercept is when x = 0, so the ordered pair is (0, 0).

For part e, but the question d is about y - intercept. So for part d:

Step1: Recall y - intercept definition

The y - intercept is the point where the graph intersects the y - axis, so \(x = 0\).

Step2: Find the point on the graph with \(x = 0\)

Looking at the given parabola, the vertex (which lies on the y - axis) has coordinates \((0, 0)\). So the y - intercept is the ordered pair \((0, 0)\).

Answer:

\((0, 0)\)