How do I rewrite a quadratic into graphing form

Step-by-step explanation:

Standard form of a quadratic is f(x) = ax² + bx + c.

To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).

Then, plug back into the equation to find the y-coordinate of the vertex.  k = f(h).

Finally, the leading coefficient is the same as the standard form, a.

f(x) = a(x − h)² + k

Another method is to complete the square.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

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.