MATH SOLVE

2 months ago

Q:
# How is the graph of y -3x2 +2 different from the graph of y - 3x2?

Accepted Solution

A:

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.