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.

First, watch this video to learn how to convert between a radical function and its graph. 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 $x-0.75$ .

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