The equation of a quadratic function is shown.y = 6x^2 − 2Which statement correctly describes the relationship between the equation and the graph that represents it?A. The coefficient 6 causes the graph to open downward.B. The constant -2 causes the graph to open downward.C. The coefficient 6 causes the graph to open upward.D. The constant -2 causes the graph to open upward.
Accepted Solution
A:
ANSWERC. The coefficient 6 causes the graph to open upwardEXPLANATIONThe given quadratic function has equation;[tex]y = 6 {x}^{2} - 2[/tex]The coefficient of[tex] {x}^{2} [/tex]is [tex]a = 6[/tex]Since [tex]a = 6 \: > \: 0[/tex]The graph of the given function will open upwards.The correct choice is C.