Question #6449613Fill in the Blank
Algebra-2
Question
Given the quadratic function , the y-coordinate of the vertex is _________.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to find the y-coordinate of the vertex for a quadratic function in intercept/factored form. The key is to first determine the x-coordinate of the vertex (axis of symmetry) and then substitute it back into the function to find the y-coordinate.
This question assesses the student's ability to find the y-coordinate of the vertex for a quadratic function in intercept/factored form. The key is to first determine the x-coordinate of the vertex (axis of symmetry) and then substitute it back into the function to find the y-coordinate.
Key Concept Explanation
The vertex of a quadratic function in intercept form has an x-coordinate given by the axis of symmetry . To find the y-coordinate, substitute this x-value back into the function.
The vertex of a quadratic function in intercept form has an x-coordinate given by the axis of symmetry . To find the y-coordinate, substitute this x-value back into the function.
Step-by-step Solution
1. Identify the x-intercepts from the given function: and .
2. Calculate the x-coordinate of the vertex (axis of symmetry):
1. Identify the x-intercepts from the given function: and .
2. Calculate the x-coordinate of the vertex (axis of symmetry):
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