Answer:
Shape is parabolic and there is translation of 4 unit upward.
Step-by-step explanation:
Given : The quadratic functions and
To find : Using those graphs, compare and contrast the shape and position of the graphs?
Solution :
Let,
and
Now, we plot these two equations.
The graph of is shown with green line with vertex(0,0)
The graph of is shown with violet line with vertex(0,4)
We have seen in the graph that the graph of is shifted 4 unit upward with the graph of
Transformation to upward,
f(x)→f(x)+b , the graph of f(x) is shifted upward by b unit.
The shape of both the graph is parabolic but the position is different.
There is a 4 unit upward translation.
Refer the attached graph below.