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Answer
The graph of
is a parabola opening upward with its vertex at
. It crosses the
-axis at
and
, and the
-axis at
.
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Beyond the Answer
Did you know that the equation
represents a parabola? This particular parabola opens upwards, and its vertex is located at the point (0, -1). Parabolas like this one are not just abstract concepts; they can be seen in real-life structures such as bridges and satellite dishes, where the shape helps in distributing weight and focusing signals efficiently!
When working with this equation, a common mistake is forgetting to plot the vertex and the axis of symmetry. The vertex is crucial because it indicates the minimum point for curves that open upwards. Always remember to check the y-intercept (when
,
) and other key points to sketch the graph accurately!