Question

The graph of the function, f(x) = - 3x2 , opens (up/down) and has(max/min) a value.

Answer 1

ANSWER

The graph of the function opens down and has a maximum value.

EXPLANATION.

The given function is,

$f(x) = - 3 {x}^{2}$
This is a quadratic function or a parabola with,

$a = - 3$

Since the value of
$a$
is less than zero, the graph opens downwards.

The vertex of this graph is the maximum point this graph.

The y-value of the vertex is the maximum value.

Hence the graph is a maximum graph.

The graph of the function,

$f(x) = - 3 {x}^{2}$
, opens (down) and has a (max) value.

Answer 2

It opens down and has a max value!