Question

1. eli graphed this function on a coordinate grid:

$f(x) = (x - 3)^2$
part a: what is the parent function of elis graph?
part b: describe the transformation from the parent function to elis graph.

Explanation:

Part A: The parent function is the simplest form of the given quadratic function, which is the basic quadratic function.
Part B: For a function in the form $f(x) = (x - h)^2$, the graph shifts horizontally compared to the parent function; $h>0$ means a shift to the right.

Answer:

Part A: $g(x) = x^2$
Part B: The graph of the parent function $g(x)=x^2$ is shifted 3 units to the right to get the graph of $f(x)=(x-3)^2$.