Write an equation of the line that passes through the given point and has the given slope.

$(3,-3)$, slope $3$

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given line.

$$(-1,2), y=\frac{1}{2} x-3$$

State whether the following sentence is true or false. If false, replace the underlined term to make a true sentence.

A $\underline{\text{constraint}}$ is a condition that a solution must satisfy.

Write an equation of a parabola with a vertex at the origin and the given directrix.

directrix $x=9$

Write the radical expression in simplest form.

$$\sqrt{9} \cdot 4 \sqrt{25}$$

Use the graphs of f and h to describe the transformation from the graph of f to the graph of h.

$$f ( x ) = 4 x + 8 ; h ( x ) = \frac { 3 } { 4 } f ( x )$$

Write the adjective that best completes each statement below.

Comment est Oprah Winfrey? Elle est $\rule{1cm}{1pt}$ .

Graph the parabola $y=x^{2}$. Be sure to label any important points. When you are sure that your graph is complete and accurate, trace over it in colored pencil. Find a way to change the equation to make the $y=x^{2}$ parabola move 3 units to the right. That is, your new parabola should look exactly like $y=x^{2}$, except that the vertex should be at the point (3, 0). Record the equations you try, along with their results Include a comment about how to move the parabola to the left as well as how to move n to the right.

To double the resonant frequency of an $LC$ circuit with a fixed value of $L$, the capacitance, $C$, must be a. doubled. b. quadrupled. c. reduced by one-half. d. reduced by one-quarter.

Classify the following reactions as precipitation, acid-base, or redox. (a) $4 \mathrm{NH}_3(g)+5 \mathrm{O}_2(g) \longrightarrow 4 \mathrm{NO}(g)+6 \mathrm{H}_2 \mathrm{O}(g)$ (b) $\mathrm{H}_2 \mathrm{SO}_4(a q)+2 \mathrm{LiOH}(a q) \longrightarrow$

$$\mathrm{Li}_2 \mathrm{SO}_4(a q)+2 \mathrm{H}_2 \mathrm{O}(l)$$

(c) $2 \mathrm{Na}(s)+2 \mathrm{H}_2 \mathrm{O}(l) \longrightarrow 2 \mathrm{NaOH}(a q)+\mathrm{H}_2(g)$ (d) $\mathrm{CaCl}_2(a q)+\mathrm{Li}_2 \mathrm{SO}_4(a q) \longrightarrow$

$$2 \mathrm{LiCl}(a q)+\mathrm{CaSO}_4(s)$$

Do two points on the coordinate plane determine a parabola? Explain.

Identify if the following reactions are redox or non redox :
a. $2 \mathrm{NH}_4 \mathrm{Cl}(a q)+\mathrm{Ca}(\mathrm{OH})_2(a q) \longrightarrow$ $2 \mathrm{NH}_3(a q)+2 \mathrm{H}_2 \mathrm{O}(t)+\mathrm{CaCl}_2(a q)$
b. $2 \mathrm{HNO}_3(\mathrm{aq})+3 \mathrm{H}_2 \mathrm{~S}(\mathrm{~g}) \longrightarrow 2 \mathrm{NO}(\mathrm{g})+$ $4 \mathrm{H}_2 \mathrm{O}(l)+3 \mathrm{~S}(s)$
c. $\left[\mathrm{Be}\left(\mathrm{H}_2 \mathrm{O}\right)_4\right]^{2+}(a q)+\mathrm{H}_2 \mathrm{O}(l) \longrightarrow$

$$\mathrm{H}_3 \mathrm{O}^{+}(a q)+\left[\mathrm{Be}\left(\mathrm{H}_2 \mathrm{O}\right)_3 \mathrm{OH}\right]^{+}(a q)$$

A Complete each sentence below correctly by writing a reflexive or intensive pronoun on the line provided. Then, on the line before each sentence, write $R$ for reflexive pronoun or $I$ for intensive pronoun. Only you, -- are responsible for your actions.

Find and simplify the difference quotient

$$\frac{f(x+h)-f(x)}{h}, h \neq 0$$

for the given function.

$$f(x)=-2x^2-x+3$$