Answer: Step-by-step explanation:
f(x)=ax^2→g(x)=a(x-h)^2+k
The horizontal shift depends on the value of h. The horizontal shift is described as:
g(x)=f(x+h) - The graph is shifted to the left h units.
g(x)=f(x−h) - The graph is shifted to the right h units.
Hence, in the question above, Horizontal Shift: Right h Units
The vertical shift depends on the value of k. The vertical shift is described as:
g(x)=f(x)+k - The graph is shifted up k units.
g(x)=f(x)−k - The graph is shifted down k units.
Therefore, in the question above, Vertical Shift: Up k Units
The description of the transformation from the graph with respect to the given graph should be explained below.
Since
[tex]f(x)=ax^2[/tex]
And, [tex]g(x)=a(x-h)^2+k[/tex]
Now here horizontal shift based on the value of h. The horizontal shift should be like
g(x)=f(x+h) - The graph should be shifted to the left h units.
And,
g(x)=f(x−h) - The graph should be shifted to the right h units.
Learn more about graph here: https://brainly.com/question/2111181
