Question

10. How does the graph of the quadratic function g(x) = x² + 4x + 10 compare to the graph of its parent function, f(x) = x²?

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Answer 1

The graph of g(x) = x² + 4x + 10 is a shifted version of the graph of its parent function f(x) = x².

Step-by-step explanation:

The graph of the quadratic function g(x) = x² + 4x + 10 is a shifted version of the graph of its parent function f(x) = x². The parent function f(x) = x² is a standard parabola that opens upward, with vertex at the origin. When we add the coefficients 4x + 10 to the parent function, we shift the parabola horizontally and vertically. The vertex of the graph of g(x) = x² + 4x + 10 is shifted 4 units to the left and 10 units up compared to the parent function.

Learn more about Comparison of graphs of quadratic functions