??? - 2015 JUNE Q10 Answers
The gradient of a curve is given by dy/dx = 4x + 3. The curve passes through the point (2, 9).
(i) Find the equation of the tangent to the curve at the point (2, 9). [3]
(ii) Find the equation of the curve and the coordinates of its points of intersection with the x-axis. Find also the coordinates of the minimum point of this curve. [7]
(iii) Find the equation of the curve after it has been stretched parallel to the x-axis with scale factor 1/2. Write down the coordinates of the minimum point of the transformed curve. [3]
(i) Find the equation of the tangent to the curve at the point (2, 9). [3]
(ii) Find the equation of the curve and the coordinates of its points of intersection with the x-axis. Find also the coordinates of the minimum point of this curve. [7]
(iii) Find the equation of the curve after it has been stretched parallel to the x-axis with scale factor 1/2. Write down the coordinates of the minimum point of the transformed curve. [3]
Answers
