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

For any real number $a$, the range of $f(x)=\sqrt{x-a}$ includes negative numbers.

Solve the square root equation for the given value of $y$. Round your answer to the nearest tenth.

$y=12 \sqrt{x}-9, y=10$

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

$y=\sqrt{x}-2$

For this exercise. Write the inverse of $f(x)=(x+8)^2$. Give the domain and range of the function and its inverse.

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

$\sqrt{-3 x-5}=x+3$

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

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

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

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

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

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

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

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?

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

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

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

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

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