Question

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.

Answer 1

C. The coefficient 6 causes the graph to open upward

Step-by-step explanation

The given quadratic function has equation;

`y = 6 {x}^(2) - 2`

The coefficient of

`{x}^(2)`

is

`a = 6`

Since

`a = 6 \: > \: 0`

The graph of the given function will open upwards.

The correct choice is C.

Answer 2

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