Question

Изобразите схематически график функций y=1/4(x-2)^2

Answer 1

Вот, это должно быть правильно

Answer 2

Табличные данные для построения графика, ниже

Answer 3

Graph of the Function y = 1/4(x-2)^2

To visualize the graph of the function y = 1/4(x-2)^2, let's first understand the key components of the equation:

- The function is a quadratic function, which means it has a degree of 2. - The equation is in vertex form, where the vertex is located at the point (2, 0). - The coefficient 1/4 determines the shape and steepness of the graph.

Now, let's plot the graph:

1. The x-coordinate of the vertex is 2, which means the graph is shifted horizontally 2 units to the right. 2. The y-coordinate of the vertex is 0, which means the graph is not shifted vertically.

Based on this information, we can plot the vertex at the point (2, 0).

Next, we can choose a few more points to plot the graph. Let's choose x-values of 0, 4, and 6:

- For x = 0: - y = 1/4(0-2)^2 = 1/4(4) = 1 - So, we have the point (0, 1).

- For x = 4: - y = 1/4(4-2)^2 = 1/4(2)^2 = 1/4(4) = 1 - So, we have the point (4, 1).

- For x = 6: - y = 1/4(6-2)^2 = 1/4(4)^2 = 1/4(16) = 4 - So, we have the point (6, 4).

Now, let's plot these points on a graph:

``` y ^ 4 | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . | . |