What is the equation of the parabola that has its vertex at (7,6) and contains the point (6,8)?

is the equation of parabola.

Step-by-step explanation:

Vertex form of a parabola is given as :

(h,k) is the co-ordinate of vertex of parabola.

(x,y) are the points on parabola.

We are given that vertex is at (7,6) and a point on parabola is (6,8).

h = 7

k = 6

x = 6 and

y =8

Putting all the values in equation (1):

Putting values of (h,k) and a in equation (1) to obtain the equation of parabola:

is the equation of parabola with vertex at (7,6) and contains the point (6,8).

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.