How is the graph of y= -6 x^2 +4 different from graph of y= -6x^2 ?
A. It is shifted 4 units to the left.
B. It is shifted 4 units to the right.
C. It is shifted 4 units up.
D. It is shifted 4 units down. *** (My Answer)
nope, it is 4 units up
Make a table of values of each using the same x's and see what happens
http://www.wolframalpha.com/input/?i=plot+y%3D+-6+x%5E2+%2B4+,+y%3D+-6x%5E2
To determine how the graph of a function is different from another graph, you need to compare their equations and identify any changes.
In this case, we are comparing the equations y = -6x^2 + 4 and y = -6x^2.
The equation y = -6x^2 represents a simple downward-opening parabola centered at the origin (0, 0).
However, the equation y = -6x^2 + 4 includes a constant term of +4 at the end. This constant term affects the position of the graph vertically, shifting it up or down.
To determine the shift, you compare the constant term of the second equation to the first equation. In this case, the constant term of the second equation is +4.
Since the constant term is positive (+4), the graph is shifted upward by 4 units. Therefore, the correct answer is C. It is shifted 4 units up.