The equation of a quadratic function is shown.

y = 6x^2 − 2

Which 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.

Respuesta :

ANSWER

C. The coefficient 6 causes the graph to open upward

EXPLANATION

The 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.

msm555

Answer:

answer:C. The coefficient 6 causes the graph to open upward.