FIND POINTS OF INTERSECTION OF PARABOLA AND LINE WORKSHEET

Without using technology, find the coordinates of the point(s) of intersection of:

Problem 1 :

y = x² - 2x + 8 and y = x + 6

Solution

Problem 2 :

y = -x² + 3x + 9 and y = 2x - 3

Solution

Problem 3 :

y = x² - 4x + 3 and y = 2x - 6

Solution

Problem 4 :

y = -x² + 4x - 7 and y = 5x - 4

Solution

Problem 5 :

For which value of c is the line y = 3x + c a tangent to the parabola with equation y = x² - 5x + 7 ?

Solution

Problem 6 :

Find the values of m for which the lines y = mx - 2 are tangents to the curve with equation y = x² - 4x + 2.

Solution