Express each quadratic function in the form $f(x)=a(x-h)^2+k$. Then use transformations of the graph of $f(x)=x^2$ to graph each function.

$$f(x)=-\frac{1}{2} x^2+4 x-2$$

What two common tools help create both User and Computer objects?

Draw the trajectories of seven rays that leave the object heading toward the seven dots on the boundary. Assume $n_2<n_1$ and $\theta_{{c}}=45^{\circ}$.

Indicate whether the following statement is true (T) or false (F).

Semicolons and colons are always placed before closing quotation marks.

Find the sum. -41 + 26

An element has two naturally occurring isotopes. The isotope has a mass of 62.9396 amu and a relative abundance of 69.17 %, and isotope 2 has a mass of 64.9278 amu.

Find the atomic mass of this element.

Should the multiple regression equation be used for predicting the LDL cholesterol level based on weight and diastolic blood pressure? Why or why not?

Use transformations of the graph of $y = \frac { 1 } { x }$ or $y = \frac { 1 } { x ^ { 2 } }$ to graph each rational function f(x). $f ( x ) = \frac { 3 x ^ { 2 } + 18 x + 28 } { x ^ { 2 } + 6 x + 9 }$

Graph each function on the interval $[-2 \pi, 2 \pi]$. For the trigonometric functions, explain how the graphs are transformations of $y=\sin x$ or $y=\cos x$.

$$H(x)=-\frac{1}{3} \sin x$$

Evaluate the derivatives of the given functions at the given points.

$$3x^3 y^2 - 2y^3 = -4; (1, 2)$$

Write T (true) or F (false) for the following statement.

Semicolons and colons are always placed outside closing quotation marks.

Find the derivatives of the functions in the ff exercise

$$k(x)=x^2 \sec (\frac{1}{x})$$

Find the derivatives of the functions in the ff exercise.

$$v=(1-t)(1+t^2)^{-1}$$

Use proofreading marks to correct any capitalization errors in the following sentence. Indicate the total number of changes at the right.

Our Organization's bylaws state the following: "The Secretary of the Association will submit an agenda two weeks before each meeting." _________