Find an equation of the line that is tangent to the graph of f and parallel to the given line. & Find the critical points of the given functions.

Activity 6.1 Tangent and Normal Lines 1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. 1. f(x) = x2, 2x - y +1=0 2. f (x) = 2x2. 4x + y +3 =0 3. f(x) = x3, 3x- y +1=0 4. f (x) = x3 + 2, 3x - y +4 =0 5. f (x) = . x + 2y -6=0 Activity 6.2 Critical Points I. Find the critical points of the given functions. 1. y = 4- 6x + x2 2. y = 4x2 + 16x + 9 3. y = (2x - 1)2 4. y = x3 - 6x2 + 12xActivity 6.1 Tangent and Normal Lines 1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. 1. f(x) = x2, 2x - y +1=0 2. f (x) = 2x2. 4x + y +3 =0 3. f(x) = x3, 3x- y +1=0 4. f (x) = x3 + 2, 3x - y +4 =0 5. f (x) = . x + 2y -6=0 Activity 6.2 Critical Points I. Find the critical points of the given functions. 1. y = 4- 6x + x2 2. y = 4x2 + 16x + 9 3. y = (2x - 1)2 4. y = x3 - 6x2 + 12x