If a quadratic equation has a negative leading coefficient and a discriminant of -40, which of the following is true? 1. The graph will be a parabola that opens down and does not touch the x-axis.

2. The graph will be a parabola that opens up and does not touch the x-axis.

3. The graph will be a parabola that opens down and touches the x-axis once.

4. The graph will be a parabola that opens down and touches the x-axis twice.

Negative leading coefficient. Therefore it is the downward paeabola.

Discriminant of -40 therefore the parabola does not touch x-axis

so the answer is 1.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: