Graph the function. Write the domain and range as inequalities.

$f(x)=\sqrt{x+4}$

Match the vocabulary term with the description that best fits it.

A. is the simplest form of the square root function, or $f(x)=\sqrt{x}$

B. is a radical equation in which the radical has an index of 2

C. is a function that can be written in the form $f(x)=a \sqrt{x-h}+k$, where $a \neq 0$

Square Root Parent Function

Demetrius has a square vegetable garden with an area of 29.16 square meters. One side of the garden is bordered by a garage. Demetrius needs to buy fencing to go around the other three sides of the garden. How much fencing will he need?

For the function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function.

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

Write an equation that has two radical expressions and no real roots.

Solve the given equation below. Check for extraneous solutions. Then write the correct answer.

$\sqrt{x+3}-1=x$

Solve the given equation below. Then write the correct answer.

$34y=t \sqrt{k x-m}+n$ for $x$.

Graph the transformation of the parent function $f(x)=\sqrt{x}$. Analyze the effect of the transformation on the graph of the parent function.

$y=\sqrt{2 x}+1$

Determine whether the statement is always, sometimes, or never true.

A square root function has two $x$-intercepts.

The velocity $v$ of an object dropped from a tall building is given by the formula $v=\sqrt{64 d}$, where $d$ is the distance the object has dropped. Solve the formula for $d$.

Which function is the inverse of $f(x)=5 x+2$ ?

A. $f^{-1}(x)=2 x-5$

B. $f^{-1}(x)=\frac{x-2}{5}$

C. $f^{-1}(x)=\frac{x-5}{2}$

D. $f^{-1}(x)=5 x-2$

Give the maximum and minimum of the following square root functions over the specified interval.

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

Determine whether the statement is always, sometimes, or never true

If $a>0$, then the graph of $f(x)=\sqrt{1+x}+a$ is entirely in Quadrant I of the coordinate plane.

Graph the transformation of the parent function $f(x)=\sqrt{x}$. Analyze the effect of the transformation on the graph of the parent function.

$$y=\sqrt{-\frac{2}{3} x}$$