a. Find the vertex and intercepts.
b. Sketch the graph.
c. Confirm your sketch using PLOT CONIC from the accompanying disk, or another suitable graphing program.
Find the vertex and intercepts of the following parabolas, and sketch the graph. Find decimal approximations for any radicals you encounter.
$y=\frac{1}{5} x^2+2 x-\frac{11}{5}$

Find a polynomial equation with integer coefficients for the set of coplanar points described. tell whether or not the graph is a conic section and, if it is, tell which conic section.
Each point is equidistant from the point $(2,5)$ and the line $x=-3$.

a. Calculate the solution set and
b. Demonstrate that your solutions are right by drawing the graphs, preferably by computer.
$5 x^2-3 y^2=-22$\

$$5 x^2-6 y^2+12 y=-85$$

Multiply: $(3 x+4 y)(3 x-4 y)$

a. Complete the square (if necessary), find the center, draw the asymptotes, plot the vertices, then sketch the graph.
b. Calculate the focal radius, and plot the foci.
c. Confirm your sketch by plotting the original equation, using PLOT CONIC on the accompanying disk, or a similar program.
$x^2-4 y^2+4 x+32 y-96=0$

Complete the square (if necessary ) to find the center and radius . Then draw the graph:\

$$x^2+y^2-14 y+48=0$$

If you go $50$ miles in $2 \frac{1}{2}$ hours, what is your average speed?

a. Calculate the solution set and
b. Demonstrate that your solutions are right by drawing the graphs, preferably by computer.
$x^2+2 y^2=33$\

$$x^2+y^2+2 x=19$$

What percent of $200$ is $30$ ?

Sketch the graph:
A system of independent linear equations

Sketch the graph of:
A function with a vertical asymptote at $x=2$.

Find a polynomial equation with integer coefficients for the set of coplanar points described. tell whether or not the graph is a conic section and, if it is, tell which conic section.
Each point is equidistant from the point $(3,-4)$ and the line $y=2$.

a. Complete the square (if necessary), find the center, draw the asymptotes, plot the vertices, then sketch the graph.
b. Calculate the focal radius, and plot the foci.
c. Confirm your sketch by plotting the original equation, using PLOT CONIC on the accompanying disk, or a similar program.
$9 x^2-4 y^2-54 x-16 y-79=0$

Simplify: $-3 x(x+5)-17$