Question

NEED HELP ASAP

Which of the graphs below correctly solves for x in the equation −x2 + 2x + 6 = 2x − 3?
Graph of quadratic opening downward and linear sloping down to the right. They intersect at point 0, 6 and point 4, negative 2. Graph of quadratic opening downward and linear sloping up to the right. They intersect at point negative 3, negative 9 and point 3, 3. Graph of quadratic opening upward and linear sloping down to the right. They intersect at point negative 2, 10 and point 4, negative 2. Graph of quadratic opening upward and linear sloping up to the right. They intersect at point negative 1, negative 5 and point 5, 7.

Answer 1

(3,3) (-3,-9)

Explanation:

Answer 2

Simply solve for x:
-x^2 + 9 = 0 => x = 3 and x = -3;

plug x = 3 and x = -3 into the original equation you get 3 = 3 and -9 = -9, respectively;
So, the two intersecting points are (-3, -9), (3, 3).
And of course, the parabola opens down since its square term is minus.