Question

In a graphing program, graph the following 4 functions in the same coordinate plane.

Answer 1

See below for the changes when the exponential function is transformed

How to determine the effect of a

The exponential functions are given as:

$y = \sqrt x$

$y = 5\sqrt x$

$y = 14\sqrt{x$

$y = -2\sqrt{x$

An exponential function of the above form is represented as:

$y = a\sqrt{x$

See attachment for the graph of the four functions.

When a is large

This is represented by $y = 14\sqrt{x$

In this case, the curve of the base form $y = \sqrt x$ is vertically stretched and it moves closer to the y-axis

When a is small

This is represented by $y = 5\sqrt x$

In this case, the curve of the base form $y = \sqrt x$ is vertically stretched and it moves away from the x-axis

When a is negative

This is represented by $y = -2\sqrt{x$

In this case, the curve of the base form $y = \sqrt x$ is vertically stretched and is reflected across the y-axis.

Read more about function transformation at:

brainly.com/question/26896273

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