Problemas
Find the vertex of the parabola y=x^2-2x Simplify both coordinates and write them as proper fractions,improper fractions, or inte (square ,square )
Roztwór
Sara
professionell · Tutor durante 6 años
4.4
(207 Votos)
Respuesta
The vertex of the parabola is \((1, -1)\).
Explicación
## Step 1The given equation is
. This is a quadratic equation in the form
, where
,
, and
.## Step 2The vertex of a parabola given by the equation
is given by the formula \((-b/2a, f(-b/2a))\).## Step 3Substitute the values of
and
into the formula to find the x-coordinate of the vertex.### \(x = -(-2)/(2*1) = 1\)## Step 4Substitute
into the original equation to find the y-coordinate of the vertex.### \(y = (1)^2 - 2*(1) = -1\