Questions: You are working with a quadratic equation and construct the following graph. Identify the vertex of the parabola: Remember that the vertex is a point! Identify the y-intercept of the parabola: Remember that the y-intercept is a point! Identify the x-intercepts: and Remember that the x-intercepts represent points on the graph! Write an equation for the axis of symmetry:

You are working with a quadratic equation and construct the following graph. Identify the vertex of the parabola: Remember that the vertex is a point! Identify the y-intercept of the parabola: Remember that the y-intercept is a point! Identify the x-intercepts: and Remember that the x-intercepts represent points on the graph! Write an equation for the axis of symmetry:
Transcript text: You are working with a quadratic equation and construct the following graph. Identify the vertex of the parabola: $\square$ Remember that the vertex is a point! Identify the $y$-intercept of the parabola: $\square$ Remember that the $y$-intercept is a point! Identify the x-intercepts: $\square$ and $\square$ Remember that the $x$-intercepts represent points on the graph! Write an equation for the axis of symmetry: $\square$
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Solution

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Solution Steps

Step 1: Identify the vertex of the parabola

The vertex of the parabola is the lowest point on the graph. From the graph, the vertex is at the point (2, -2).

Step 2: Identify the y-intercept of the parabola

The y-intercept is the point where the parabola crosses the y-axis. From the graph, the y-intercept is at the point (0, 2).

Step 3: Identify the x-intercepts

The x-intercepts are the points where the parabola crosses the x-axis. From the graph, the x-intercepts are at the points (0, 2) and (4, 2).

Final Answer

  • Vertex: (2, -2)
  • Y-intercept: (0, 2)
  • X-intercepts: (0, 2) and (4, 2)
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