to graph the function $g(x)=(x - 5)^2-9$, shift the graph of $f(x)=x^2$ 5 units and 9 units.
to graph the function $g(x)=(x - 5)^2-9$, shift the graph of $f(x)=x^2$ 5 units and 9 units.
Answer
Explanation:
Step1: Analyze horizontal shift
For a function of the form $y=(x - h)^2 + k$ compared to $y = x^2$, the value of $h$ determines the horizontal shift. In $g(x)=(x - 5)^2-9$, since $h = 5$, the graph of $f(x)=x^2$ shifts right 5 units.
Step2: Analyze vertical shift
The value of $k$ in $y=(x - h)^2 + k$ determines the vertical shift. In $g(x)=(x - 5)^2-9$, since $k=- 9$, the graph shifts down 9 units.
Answer:
right, down