Find the for the following equation:

The point lies on a line with a slope that passes through . What is the value of ?

Figure NOT drawn to scale.

Refer to the above figure.

True or false:

Statement 1: is a right angle.

Statement 2: and are supplementary.

has as its graph a vertical parabola on the coordinate plane. You are given that and , but you are not given .

Which of the following can you determine without knowing the value of ?

I) Whether the graph is concave upward or concave downward

II) The location of the vertex

III) The location of the -intercept

IV) The locations of the -intercepts, if there are any

V) The equation of the line of symmetry

A line segment has its midpoint at and an endpoint at . What are the coordinates of the other endpoint?

In the -plane, point lies on a circle with center at the origin. The radius of the circle is 5. What is the value of ?

Determine the equation of the tangent line to the following curve at the point :

Define a function as follows:

Give the horizontal aysmptote of the graph of .

Define a function as follows:

Give the vertical aysmptote of the graph of .

In which quadrant does the complex number lie?