Question

Какая из точек лежит на графике функции? А. А(-1; -3)Б. В(1; 9)В. С(-1;3)Г. D(3;9)Не выполняя построение графика, определите куда направлены ветви параболы y=-3x².

Answer 1

Ветви направленны вверх,т.к. перед а минус

Answer 2

Determining the Point on the Graph of the Function

To determine which point lies on the graph of the function y = -3x² without constructing the graph, we can simply substitute the given x-coordinates into the function and check if the resulting y-coordinate matches the given y-coordinate for each point.

Given Points: - A(-1, -3) - B(1, 9) - C(-1, 3) - D(3, 9)

Let's calculate the y-coordinates for each given x-coordinate using the function y = -3x².

1. For point A(-1, -3): - Substituting x = -1 into the function: y = -3(-1)² = -3(1) = -3 - The calculated y-coordinate matches the given y-coordinate of -3 for point A.

2. For point B(1, 9): - Substituting x = 1 into the function: y = -3(1)² = -3(1) = -3 - The calculated y-coordinate does not match the given y-coordinate of 9 for point B.

3. For point C(-1, 3): - Substituting x = -1 into the function: y = -3(-1)² = -3(1) = -3 - The calculated y-coordinate does not match the given y-coordinate of 3 for point C.

4. For point D(3, 9): - Substituting x = 3 into the function: y = -3(3)² = -3(9) = -27 - The calculated y-coordinate does not match the given y-coordinate of 9 for point D.

Conclusion

Based on the calculations, only point A(-1, -3) lies on the graph of the function y = -3x².