Problemas
Select 2 key attributes that are true about the quadratic below: f(x)=-x^2-2x+3
Roztwór
Arlette
maestro · Tutor durante 5 años
4.7
(238 Votos)
Respuesta
The quadratic function \(f(x) = -x^2 - 2x + 3\) has a negative leading coefficient, which means the parabola opens downwards. The vertex of the parabola is (-1, 4).
Explicación
## Step 1The given function is a quadratic function, which is a polynomial of degree 2. The general form of a quadratic function is \(f(x) = ax^2 + bx + c\), where
,
, and
are constants, and
is not equal to zero.## Step 2In the given function \(f(x) = -x^2 - 2x + 3\), the coefficient of
is negative, which means the parabola opens downwards.## Step 3The vertex of the parabola is given by the formula
. Substituting the values of
and
from the given function, we get \(-(-2)/2(-1) = -1\). Substituting
in the function, we get \(f(-1) = -(-1)^2 - 2(-1) + 3 = 4\). So, the vertex of the parabola is (-1, 4).