Q2(X)=-5(x+0.63)^2-2.3

Question

the question it asks me is "the point(s) of intersection of the linear function and quadratic function must be verified algebraically. LS/RS check must be completed
the quadratic function is
q(x)=-5*(x+0.63)^2-2.3
and the linear functions is y=-1x-5
how would i do that

Answer 1

First, set the two equations equal, and solve the result.

 

So -5(x + 0.63)² - 2.3 = -x - 5.

 

This becomes 5(x + .63)² + x + 2.7 = 0

  -5(x² + 1.26x + .3969)+ x + 2.7 = 0

 

-5x² - 6.3x - 1.9845 + x + 2.7 = 0

 

-5x² - 5.3x + .7155= 0.  This gives x = -1.18115, and x = .12115.

 

Plugging these back into the linear equation makes

 

 your answer   (-1.18115, -3.81885)  and (.12115, -5.12115)

 

I believe, reading the problem, is that this is to be done on a graphing calculator, by putting one eqauation as y₁ and the other as y₂, and finding their intersections.  I hope this helps.