# How do you graph y=1/2sqrtx?

Jul 22, 2018

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#### Explanation:

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Create adata table to generate the graph:

Observe the graphs given below:

1. Graph of color(blue)(y=sqrt(x)

2. Graph of color(red)(y=(1/2)*sqrt(x)

The radical function: color(blue)(y=sqrt(x) is the Parent Function:

The graph of the parent function starts at the origin $\left(0 , 0\right)$

The general form of the radical function:

color(red)(y= f(x)=a sqrt[b(x-c)] +d, where

( i). color(red)(|a| will stretch or shrink the graph vertically

( ii), color(red)(|b| will stretch or shrink the graph horizontally

(iii). color(red)(c will shift the graph left or right.

( iv). color(red)(d will shift the graph up or down.

( v). color(red)(-a will flip the graph across -axis

( vi). color(red)(-b will flip the graph across y-axis

We can compare both the graphs (parent function and the function given) to comprehend the behavior of the graph and the corresponding radical function.

Hope it helps.