Question

Постройте график y=4^x+2

Answer 1

Вот так он должен выглядеть.
График – парабола, сдвинутся на 2 значения вправо.

Answer 2

Graph of y=4^x+2

To plot the graph of the function y=4^x+2, we can use the exponential function and the constant term to determine the behavior of the graph.

The general form of an exponential function is y = a * b^x + c, where: - a is a constant multiplier - b is the base - x is the exponent - c is a constant term

In this case, for the function y=4^x+2: - a = 1 (implied) - b = 4 - c = 2

Let's plot the graph of this function.

Graph Plotting

To plot the graph, we can start by choosing some x-values and then calculate the corresponding y-values using the function y=4^x+2.

For example, when x = -2: y = 4^-2 + 2 = 1/16 + 2 = 2.0625

When x = -1: y = 4^-1 + 2 = 1/4 + 2 = 2.25

When x = 0: y = 4^0 + 2 = 1 + 2 = 3

When x = 1: y = 4^1 + 2 = 4 + 2 = 6

When x = 2: y = 4^2 + 2 = 16 + 2 = 18

Now, let's plot these points on a graph to visualize the function.

Graph Visualization

The graph of the function y=4^x+2 will show an exponential growth as x increases, with the graph shifting upwards by 2 units due to the constant term.

The plotted points will form a curve that rises rapidly as x increases, reflecting the exponential growth of the function.

Let's visualize this graph.