This graph is a horizontal shift of the parent function. The equation of the graphed function is .
Answer & Analysis
Analysis
Question Analysis
This question involves identifying the horizontal shift of a square root function from its graph. The main focus is on using the vertex (starting point) of the graphed function to find the missing horizontal shift value in the function equation.
Key Concept Explanation
Vertex of Parent Square Root Function: The parent function has a vertex (starting point) at .
Horizontal Shift Rule: When a square root function is shifted horizontally by h units to the right, its equation becomes . The vertex of this shifted function is —the y-coordinate stays 0 (no vertical shift), and the x-coordinate equals h.
Step-by-step Solution
1. Identify the vertex of the graphed function: The graph starts at , so the vertex is
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.