What is the equation for the graph on question 1

f(x) = x^2 - 4*x

Step-by-step explanation:

This is a quadratic equation, that can be written in factorized form as:

f(x) = A*(x - a)*(x - b)

Where A is a real number, a and b are the roots of the equation.

In the graph we can see that the graph intersects the x-axis at x = 0, and x = 4, then:

a = 0

b = 4

So the equation is:

f(x) = A*(x -0)*(x - 4) = A*x*(x - 4)

Now we can also see that, the arms of the exponential open up, this means that A is positive, and we also can see that f(2) = -4

Then:

f(2) = A*2*(2 - 4) = -4

     = A*2*(-2) = -4

     = A*-4 = -4

         A = -4/-4 = 1

A = 1

Then the equation is:

f(x) = x*(x - 4) = x^2 - 4*x

angle addition postulate

2x=56

step-by-step explanation: