My entire question got deleted when I tried to edit it oops! Here it is again.

Above you see the graphs of the functions f(x) = (x+3)(x-3) , g(x) = 0,5x^2 + x + 3 and h(x) = x-3

a. Solve the equation (x+3)(x-3) = x-3

b. What meaning does the answer of a. have ?

c. Solve g(x) = h(x) . Give an exact answer. (I think they mean the equations? Don't understand this question like at all.)

d. Calculate the x coordinates of the points of intersection of the graphs of f and g .

e. Theres the function notation j(x) = (x+ 2 1/2)^2 - 5 . Give by logically reasoning the coordinates of the top of the graph of function j

HeyxJacq Feb 28, 2019

#1**+4 **

a. Solve the equation (x+3)(x-3) = x-3

x^2 - 9 = x - 3

x^2 -x - 6 = 0

(x -3) ( x + 2) = 0

Settting each factor to 0 and solving for x gives that x = 3 and x = -2

b. These are the x coordinates of the intersections of both functions

c. g(x) = h(x)

-.5x^2 + x + 3 = x - 3

-.5x^2 + 6 = 0

.5x^2 = 6

x^2 = 12

x = ±√12 = ±2√3

CPhill Feb 28, 2019