Without using technology, find the coordinates of the point(s) of intersection of:
Problem 1 :
y = x^{2} - 2x + 8 and y = x + 6
Problem 2 :
y = -x^{2} + 3x + 9 and y = 2x - 3
Problem 3 :
y = x^{2} - 4x + 3 and y = 2x - 6
Problem 4 :
y = -x^{2} + 4x - 7 and y = 5x - 4
Problem 5 :
For which value of c is the line y = 3x + c a tangent to the parabola with equation y = x^{2} - 5x + 7 ?
Problem 6 :
Find the values of m for which the lines y = mx - 2 are tangents to the curve with equation y = x^{2} - 4x + 2.
1) Intersection points are (1, 7) and (2, 8).
2) Intersection points are (4, 5) and (-3, -9).
3) intersection point is (3, 0)
4) This expression has no real factors. So, the curves do not intersect.
5) c = -9
6) Hence, m values are 0 and -8.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM