Question

edwin was testing out how to make different looking parabolas on desmos. he stated,
\my parabolas turning point is below the x - axis.\
(1) use the sketch tool to indicate what edwin is describing as the parabolas \turning point.\
(2) what other word or phrase could we use for \turning point\?

Explanation:

1. The turning point of a parabola is the lowest point (for a parabola opening upwards) or the highest point (for a parabola opening downwards). In the given graph (which opens upwards), the turning point is the minimum point. Since it's below the \(x -\)axis, it's the vertex of the parabola. Using the sketch tool, one would mark the lowest point of the parabola.
2. The vertex is another term for the turning point of a parabola. The vertex form of a parabola \(y=a(x - h)^2 + k\) has \((h,k)\) as the vertex (turning - point) of the parabola.

Answer:

1. Mark the lowest point of the parabola (using the sketch tool as per the software's requirements).
2. Vertex.