Question #6449615Fill in the Blank
Algebra-2
Question
For the quadratic function , the y-coordinate of the vertex is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to calculate the y-coordinate of the vertex for a quadratic function given in intercept/factored form. The function is , and the y-coordinate of the vertex is found by substituting the x-coordinate of the vertex back into the function.
This question tests the student's ability to calculate the y-coordinate of the vertex for a quadratic function given in intercept/factored form. The function is , and the y-coordinate of the vertex is found by substituting the x-coordinate of the vertex back into the function.
Key Concept Explanation
The y-coordinate of the vertex for a quadratic function in intercept/factored form is found by first determining the x-coordinate of the vertex (which is the same as the axis of symmetry, ) and then substituting this value back into the function.
The y-coordinate of the vertex for a quadratic function in intercept/factored form is found by first determining the x-coordinate of the vertex (which is the same as the axis of symmetry, ) and then substituting this 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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