Hyperbola

Question 1

what is the formula

Answer 1

y = a / x + p + q

Question 2

what is q

Answer 2

q is the vertical shift

if q is positive then our function moves upwards

if q is negative then our function moves downwards

Question 3

what are the horizontal and vertical asymptotes

Answer 3

q = y and is the horizontal asymptote

x = 0 and is the vertical asymptote

Question 4

what is a

Answer 4

tells us which quadrants our function should be drawn

if a is positive our function will be drawn in the first and third quadrants

if a is negative our function will be drawn in the second and fourth quadrants

Question 5

what is p

Answer 5

shifts the hyperbola left or right

if p is positive******** the graph moves to the left

******if p is negative****** the graph moves to the right

Question 5

what is p

Answer 5

shifts the hyperbola left or right

if p is positive the graph moves to the left

if p is negative the graph moves to the right

Question 6

how do we calculate the x and y intercepts

Answer 6

To calculate they-intercept, we let x = 0 and solve for y

To calculate the x-intercept we let y = 0 and solve for x

Question 7

what does the asymptote indicate

Answer 7

the values of x for which the function does not exist.

In other words, these are the values that are excluded from the domain and the range

Question 8

what is the axis of symmetry

Answer 8

The Axis of symmetry is where the two asymptotes meet

Axis of symmetry is the entire formula excluding ‘a’