Consider the quadratic function . What is the horizontal translation of the graph compared to the parent function ? Write your answer as "shifts ______ units ________".
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's understanding of the horizontal translation in the vertex form of a quadratic function. It specifically tests the ability to determine the value of and its effect on the graph.
Key Concept Explanation
In the vertex form , the value of determines the horizontal translation of the graph. If , the graph shifts to the right, and if , the graph shifts to the left.
Step-by-step Solution
1. Identify the vertex form of the quadratic function:
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