Question

PLEASE HELP ME

Answer 1

ANSWER

(3,2) and (-1,6)

EXPLANATION

The given equations are:

$f(x)= - x + 5$

and

$g(x) = {x}^{2} - 3x + 2$

The graph of the first equation is a straight line with slope, -1 and y-intercept 5.

The quadratic function can be rewritten

as

$g(x) = ({x - \frac{3}{2}) }^{2} - \frac{1}{4}$

The graph of this function has it's vertex at

$( \frac{3}{2} , - \frac{1}{4} )$

We graph the two functions on the same sheet as shown in the attachment.

The solution is the point of intersection of the two graphs.

(3,2) and (-1,6)