Question #6449597Fill in the Blank
Algebra-2
Question
Consider the quadratic function . What is the y-coordinate of the vertex?
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to find the y-coordinate of the vertex for a quadratic function given in intercept/factored form. The x-intercepts are provided, and the task is to use the axis of symmetry to find the vertex.
This question evaluates the student's ability to find the y-coordinate of the vertex for a quadratic function given in intercept/factored form. The x-intercepts are provided, and the task is to use the axis of symmetry to find the vertex.
Key Concept Explanation
The y-coordinate of the vertex can be found by substituting the x-coordinate of the axis of symmetry into the quadratic function. The axis of symmetry is given by , and the y-coordinate is .
The y-coordinate of the vertex can be found by substituting the x-coordinate of the axis of symmetry into the quadratic function. The axis of symmetry is given by , and the y-coordinate is .
Step-by-step Solution
1. Identify the x-intercepts: and .
2. Find the axis of symmetry:
1. Identify the x-intercepts: and .
2. Find the axis of symmetry:
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