Question #6449621Fill in the Blank
Algebra-2
Question
Consider the quadratic function . The y-coordinate of the vertex is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the y-coordinate of the vertex for a quadratic function given in intercept form. The key concept is that the vertex lies on the axis of symmetry, and its y-coordinate can be found by substituting the x-coordinate of the axis of symmetry into the function.
This question tests the student's ability to find the y-coordinate of the vertex for a quadratic function given in intercept form. The key concept is that the vertex lies on the axis of symmetry, and its y-coordinate can be found by substituting the x-coordinate of the axis of symmetry into the function.
Key Concept Explanation
For a quadratic function in intercept form , the x-coordinate of the vertex is given by the axis of symmetry . The y-coordinate of the vertex is then found by substituting this x-value back into the function.
For a quadratic function in intercept form , the x-coordinate of the vertex is given by the axis of symmetry . The y-coordinate of the vertex is then found by substituting this x-value back into the function.
Step-by-step Solution
1. Identify the x-intercepts from the function: and .
2. Calculate the x-coordinate of the vertex (axis of symmetry):
1. Identify the x-intercepts from the function: and .
2. Calculate the x-coordinate of the vertex (axis of symmetry):
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