Question

Which of the graphs below correctly solve for x in the equation −x2 + 5x + 6 = 3x − 2? Graph of quadratic opening downward and linear sloping up to the right. They intersect at point negative 2, negative 8 and point 4, 10. Graph of quadratic opening upward and linear sloping up to the right. They do not intersect at point. Graph of quadratic opening downward and linear sloping down to the left. They intersect at point negative 0.9, 0.7. Graph of quadratic opening downward and linear sloping up to the right. They intersect at point negative 1.3, negative 2.2 and point 3.23, 11.73.

Answer 1

The first one. They intersect at (-2,-8) and at (4,10).
You can find this graphically or algebraically.
Graphically by inputting both equations and using the intersect function.
Or algebraically by setting the equation to 0.
Finding the x intercepts then by factoring.
Then inputting the x values into either original equation to find the y intercepts for each.