How do you find the equation of each function? Function A is f(x)=3x^2 and Function C is f(x)=18x-16. How do you get those? And then how do you get the equation for Function B? Thanks!

--- Function A

--- Function B

--- Function C

Step-by-step explanation:

Solving (a): Equation of Function A

An exponential equation is represented as:

From the graph of function A,

For:

becomes

For:

becomes

Substitute 1 for a

becomes

Replace y with f(x)

Solving (b): Equation of Function B

A quadratic equation is represented as:

From the table of function B,

For:

becomes

For

becomes

For

becomes

So, we solve for a, b and c in:

Make c the subject in

Substitute in and

becomes

Collect Like Terms

Divide through by 2

becomes

Collect Like Terms

Divide through by 3

Solve for a and b in: and

Subtract both equations:

Divide both sides by -1

Substitute 1 for a in

Subtract 9 from both sides

Substitute and in

So, the equation is:

Replace y with f(x)

Solving (c): Equation of Function C

This is calculated using:

Where

-- the first term

d = the difference between successive terms

So, we have:

Open bracket

Collect Like Terms

where are the graphs?

step-by-step explanation: