Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand. Directrix the line $y=-\frac{1}{2}$ vertex at (0, 0).

A university's financial aid office wants to know how much it can expect students to earn from summer employment. This information will be used in setting the level of financial aid. The population contains 3478 students who have completed at least one year of study but have not yet graduated. The university will send a questionnaire to an SRS of 100 of these students, drawn from an alphabetized list.

Find the period, and graph the function. $y=\sec 2\left(x-\frac{\pi}{4}\right)$

An equation of a hyperbola is given. Sketch a graph of the hyperbola. $\frac{x^{2}}{4}-\frac{y^{2}}{16}=1$

Analyze each polynomial function by following Steps 1. $f(x)=(x-1)(x+3)^{2}$

The relative value of currencies fluctuates every day. When this problem was written, one Canadian dollar was worth 0.9766 U.S. dollars. Find $f^{-1}.$ What does $f^{-1}$ represent?

Perform an operation on the given system that eliminates the indicated variable. Write the new equivalent system.

$$\left\{\begin{array}{l}{2 x+y-3 z=5} \\ {2 x+3 y+z=13} \\ {6 x-5 y-z=7}\end{array}\right.$$

Eliminate the x-term from the third equation.

Find an equation for the parabola that has its vertex at the origin and satisfies the given condition(s). Focus: F(0,6)

Identify characteristics of the quadratic.

This tally below shows the number of times that Jim and Rob won games of checkers. What is the experimental probability that Rob beats Jim in future games? Jim: I I I I I I I I I, Rob: I I I I I I.

Which of the following represents the solution to the inequality, -3x+4>-2? A. x>-2, B. x<2, C. x<-2, D. x>2.

Steffensen’s method is applied to a function g(x) using $p_{0}^{(0)}=1 \text { and } p_{1}^{(0)}=\sqrt{2}$ to obtain $p_{0}^{(1)}=2.7802.$ What is $p_{2}^{(0)} ?$

Describe a local, or signature, dish from each of five regions in Spain.

In each of the following situations, is it more reasonable to simply explore the relationship between the two variables or to view one of the variables as an explanatory variable and the other as a response variable? In the latter case, which is the explanatory variable and which is the response variable? (a) A family's income and the years of education their eldest child completes (b) Price of a house and square footage of the house (c) The arm span and height of a person ( d) Amount of snow in the Colorado mountains and the volume of water in area rivers