Objective 2 - Graph

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Identify the graph of a radical function.

Note: No section in the textbook directly talks about how to graph radical functions.

You can print out these notes to follow along with the video below and keep notes to organize your thoughts.

I also suggest visiting this Desmos page to see how various numbers affect radical functions. Focus on what changing $h$ and $k$ does to each type of radical function.

Write the equation of the function graphed below. Assume $a = 1$ or $a = -1$ .

$f(x) = \answer {-1} \sqrt {\answer {x-1}}$ $+ \answer {3}$

Write the equation of the function graphed below. Assume $a = 1$ or $a = -1$ .

Hint: Be sure to remove the decimal. For example, if $x$ is shifting by $0.75$ to the right, then standard form would be $4x-3$ rather than $x-0.75$ .

$f(x) = \answer {1}$ $\sqrt {\answer {2x+3}}$ $+ \answer {-3}$

Write the equation of the function graphed below.

$f(x) = \answer {1}$ $\sqrt [3]{\answer {x+5}}$ $+ \answer {-1}$

Write the equation of the function graphed below. Hint: Be sure to remove the decimal. For example, if $x$ is shifting by $0.75$ to the right, then standard form would be $4x-3$ rather than $x-0.75$ .

$f(x) = \answer {-1} \sqrt [3]{\answer {4x-5}}$ $+ \answer {2}$