Section 1
Review Exercises
Graph.a. $y=9 x^2$(GRAPH CAN'T COPY)b. $y=-9 x^2$(GRAPH CAN'T COPY)
Find the vertex and graph.a. $y=(x-1)^2-2$(GRAPH CAN'T COPY)b. $y=-(x-1)^2+2$(GRAPH CAN'T COPY)
Find the vertex and graph.a. $y=x^2-4 x+2$(GRAPH CAN'T COPY)b. $y=-x^2+6 x-5$(GRAPH CAN'T COPY)
Find the vertex and graph.a. $y=2 x^2-4 x+3$(GRAPH CAN'T COPY)b. $y=-2 x^2+4 x-5$(GRAPH CAN'T COPY)
Find the vertex and graph.a. $x=2(y-2)^2-2$(GRAPH CAN'T COPY)b. $x=-2(y-3)^2+1$(GRAPH CAN'T COPY)
Find the vertex and graph.a. $x=y^2-4 y+1$(GRAPH CAN'T COPY)b. $x=y^2-2 y+3$(GRAPH CAN'T COPY)
Find the value of $x$ that gives the maximum revenue $R$ if:a. $R=20 x-0.01 x^2$b. $R=10 x-0.02 x^2$
If a ball is thrown upward at 24 feet per second, its height $h$, in feet, after $t$ seconds is given by the equation $h=-16 t^2+24 t$. How many seconds does it take for the ball to reach its maximum height? What is this height?
Find the distance between each pair of points.a. $(5,-3)$ and $(2,8)$b. $(10,10)$ and $(2,-4)$c. $(-3,3)$ and $(-3,8)$
Find an equation of the circle of radius 3 and with the given center:a. $(-2,2)$b. $(3,2)$
Find the center; the radius, and sketch the graph.a. $(x+2)^2+(y-1)^2=4$(GRAPH CAN'T COPY)b. $(x-1)^2+(y+2)^2=9$(GRAPH CAN'T COPY)
Sketch the graph.a. $x^2+y^2=4$(GRAPH CAN'T COPY)b. $x^2+y^2=25$(GRAPH CAN'T COPY)
Find the center; the radius, and sketch the graph.a. $x^2+y^2+2 x+2 y-2=0$(GRAPH CAN'T COPY)b. $x^2+y^2-4 x+6 y+9=0$(GRAPH CAN'T COPY)
Graph.a. $4 x^2+9 y^2=36$(GRAPH CAN'T COPY)b. $9 x^2+y^2=9$(GRAPH CAN'T COPY)
Graph.a. $\frac{(x-1)^2}{4}+\frac{(y-2)^2}{9}=1$(GRAPH CAN'T COPY)b. $\frac{(x+2)^2}{9}+\frac{(y-2)^2}{4}=1$(GRAPH CAN'T COPY)
Graph.a. $\frac{x^2}{9}-\frac{y^2}{16}=1$(GRAPH CAN'T COPY)b. $\frac{x^2}{16}-\frac{y^2}{9}=1$(GRAPH CAN'T COPY)
Graph.a. $\frac{y^2}{9}-\frac{x^2}{16}=1$(GRAPH CAN'T COPY)b. $\frac{y^2}{16}-\frac{x^2}{9}=1$(GRAPH CAN'T COPY)
Identify each of the curves.a. $x=1-y^2$b. $x^2=4 y^2-4$c. $y^2=9-x^2$d. $4 y^2=36-9 x^2$
Solve the system by the substitution method.a.$$\begin{aligned}& x^2+y^2=1 \\& x+y=1\end{aligned}$$b.$$\begin{aligned}& x^2+y^2=10 \\& x+y=4\end{aligned}$$
Solve the system by the substitution method.a. $x^2-y^2=16$$$2 x=y$$b. $x^2+y^2=4$$$x+y=3$$
Solve the system.a. $x^2-y^2=5$$$x^2+2 y^2=17$$b. $x^2-y^2=3$$$2 x^2+y^2=9$$
a. The cost $C$ of manufacturing and selling $x$ units of a product is modeled by the equation $C=10 x+400$, and the corresponding revenue $R$ is $R=x^2-200$. Find the break-even value of $x$.b. Repeat part a if $C=6 x+80$ and $R=x^2-200$.
Graph the inequality.a. $y \leq 1-x^2$(GRAPH CAN'T COPY)b. $x \leq 4-y^2$(GRAPH CAN'T COPY)
Graph the inequality.a. $x^2+y^2 \leq 4$(GRAPH CAN'T COPY)b. $x^2+y^2>9$(GRAPH CAN'T COPY)
Graph the inequality.a. $4 x^2-y^2 \leq 4$(GRAPH CAN'T COPY)b. $x^2-4 y^2 \leq 4$(GRAPH CAN'T COPY)
Graph the system.a. $x^2+y^2 \leq 4$ and $y \leq 2-x^2$(GRAPH CAN'T COPY)b. $x^2+y^2 \leq 4$ and $y \geq 4 x^2$(GRAPH CAN'T COPY)