Questions: The graph above is of g(x) obtained from transforming f(x)=x^2. Find g(x).
Transcript text: The graph above is of $g(x)$ obtained from transforming $f(x)=x^{2}$. Find $g(x)$.
Solution
Solution Steps
Step 1: Identify the Parent Function
The parent function given is f(x)=x2.
Step 2: Analyze the Transformation
Observe the graph of g(x). The graph appears to be a vertical shift of the parent function f(x)=x2. The vertex of the parabola is at (0, 4) instead of (0, 0).
Step 3: Determine the Transformation
Since the vertex has moved up by 4 units, the transformation applied to f(x)=x2 is a vertical shift upward by 4 units.