The following equation is the equation for a hyperbola. However, it is not in standard form.

What is the equation in standard form?

A hyperbola with an equation  passes through the point (2;−7) and has an asymptote . What are the values of and ?

Determine the y-coordinate of the y-intercept of the quadratic function 

Given and passes through the x-axis at (d-1 ;0) and (d+7 ; 0), where d.

Determine the value of d

The graph below shows the function :

If we change the function, the line will also change. Determine how the line will change if we change the function like this:

Is the following True or False ?

The y-intercept of  is 6.

Solve for in the equation: