The region above the dashed line is labeled section Q. The region below it is labeled section P, R, or S. These represent all of the solutions for the system. The region below the dashed line is labeled section S.

## Choice C scatterplot

In this example, the scatterplot of choice C shows that some of the numbers are repeated with different frequencies. As a result, the mean value of the number list (including repeats) is 4.25. Therefore, choice C is the right answer. The other two choices are incorrect.

## Graph of a parabola

A parabola is a curve whose y-intercept is the same as its x-intercept. For example, if x=3 and y=7, the graph is a parabola. However, if x = 2 and y=7, the graph is not a parabola.

A mixed-degree system is an equation that has two graphs intersecting at the same point. The solution is a value that is true for both graphs. This type of system can have many solutions. In general, a quadratic equation and a linear equation can have an infinite number of solutions.

A graph of a parabola with no solutions is symmetric around the y-axis. It can be easily sketched by dividing the x-intercept by its y-intercept. You can also find the minimum of the axis of symmetry by finding the minimum of the graph’s y-axis. The minimum of the axis of symmetry occurs at the origin of the graph, which is called its vertex. The y-values to the right and left of the origin are greater than those of the origin. The arms of the graph continue indefinitely, and become steeper as they go upward.

The graph of a parabola with a mixed-degree system will have a vertex, which is sort of like a mountain on a negative axis. Conversely, a valley bottom has a vertex that is the opposite of the mountain top on the positive axis.

A parabola is a curve that arises from a dissection of an upright cone. It is also a graph of a quadratic equation. The basic cubic curve has the equation y = x3 and y-intercepts 1, 2, and 3. The graph of a parabola can be drawn graphically to show this.

The graph of a parabola that shows a quadratic inequality lies below the x-axis when x = 0.31 and y=1.83. It shows points that are not solutions, and points that are solutions are shaded.

A quadratic equation has a quadratic form, so it has a U-shaped shape. The positive a in the equation opens up the graph, and the negative a opens it down. Graphs of quadratic equations appear in many disciplines, including microeconomics and physics.

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