Graph the functions on the same coordinate plane. f(x) = x2 - 4x +3 g(x) = -x2 + 3 What are the solutions to the equation f(x) = g(x)? Select each correct answer.

Question

-1

0

1

2

3

Answer 1

Seeing that both are quadratic equations you know that you will be graphing 2 parabolas, which I will leave up to you.

Finding the solution of f(x) = g(x): x² - 4x + 3 = -(x)² +3

x² - 4x + 3 + x² - 3 = 0

2x² - 4x = 0

2x(x - 2) = 0

x = 0 x = 2

Putting both of these values into the functions for a check shows that these answers are correct for the x values and the points would be (0,3) and (2,-1).

Hope this helps!

Answer 2

equation f(x) = g(x)

x^2 - 4x + 3 = -x^2 +3

2 x^2 -4 x = 0

2 x ( x - 2 ) = 0

x=0 or x=2