Answer:
Difference between graphs of both equation is the vertex of the both curves.
Step-by-step explanation:
Given Equations of curves are [tex]y=-3x^2+2\:\:and\:\:y=-3x^2[/tex]
We need to find the difference in the graphs of the given curves.
one variable in both curves has degree 2 and 2nd variable in both curves has degree 1.
So, Given Equation of curves are of parabola.
Consider 1st equation,
y = -3x² + 2
[tex]x^2=\frac{-1}{3}(y-2)[/tex]
Vertex of this parabola is ( 0 , 2 )
Axis of symmetry is y-axis.
Consider 2nd equation,
y = -3x²
[tex]x^2=\frac{-1}{3}y[/tex]
Vertex of this parabola is ( 0 , 0 )
Axis of symmetry is y-axis.
Therefore, Difference between graphs of both equation is the vertex of the both curves.
Figures are attached.
