What is a chimera? How are chimeras made?

Describe a situation that can be represented by the expression 4(-2).

Use the table to perform each transformation of y=f(x). Use the same coordinate plane as the original function.

translation left 1 unit, down 5 units

Write a quadratic function g(x) that represents the transformation of the function

$$f(x) = x^2.$$

The function g(x) is a translation of

$$f(x) = x^2.$$

The vertex of the graph of g(x) is (-4, 7). What is the equation of g(x)? Explain your answer.

Find the exact value of each trigonometric function.

sin (-300 deg)

Write the prime factorization of 675 using exponents.

The table shows the cost of renting three different apartment styles in an apartment complex.

$$\begin{array}{|l|c|} \ & \text { Monthly Rental Cost } \\ \hline \text { One bedroom } & \$ 650 \\ \hline \text { Two-bedroom } & \$ 890 \\ \hline \text { Three-bedroom } & \$ 940 \\ \hline \end{array}$$

All rents at an apartment complex will be increased by 10%. What scalar can be used to make a matrix with the updated prices? Create this matrix.

Find the exact value of each trigonometric function.

tan 30 deg

Write an equation to represent the situation. Juanita has 102 beads to make n necklaces. Each necklace will have 17 beads.

Write the prime factorization of 225 using exponents.

Match the rational exponent expression in Column I with the equivalent radical expression in Column II. Assume that $x \neq 0$.

$$\begin{array}{ll} \text{I}&\text{II}\\ (3 x)^{-1 / 3}&\text{A. }\frac{3}{\sqrt[3]{x}}\\ &\text{B. }-3 \sqrt[3]{x}\\ &\text{C. }\frac{1}{\sqrt[3]{3 x}}\\ &\text{D. }\frac{-3}{\sqrt[3]{x}}\\ &\text{E. }3 \sqrt[3]{x}\\ &\text{F. }\sqrt[3]{-3 x}\\ &\text{G. }\sqrt[3]{3 x}\\ &\text{H. }\frac{1}{\sqrt[3]{-3 x}}\\ \end{array}$$

The function f(x) has a maximum at (0, —3), is increasing for x < 0 and decreasing for x > 0, and is negative for all values of x. The graph of g{x) is the graph of f(x) after a translation 2 units right and 3 units up. Sketch a possible graph of g(x).

The Galíndez family is getting ready to go on a trip. Use the cues provided to write what they are telling each other to do. Modelo: cerrar las maletas; Marta, quiero que cierres las maletas. buscar tu maleta ahora; Mamá, sugiero que Papá ____.

(a). Create a table of values of $\tan (3 / x)$ for $x=12 / \pi, 12 /(3 \pi)$, $12 /(5 \pi), \ldots, 12 /(11 \pi)$. Describe the general pattern in the values you observe. (b). Use a graphing utility to graph $y=\tan (3 / x)$. Why does a graphing utility have difficulty plotting the graph near $x=0$ ? $(c)$. What do you conclude about $\lim _{x \rightarrow 0} \tan (3 / x)$ ?