Question

Q3. The vertices of \(\triangle EFG\) are E(-3, 5), F(0, -1) and G(6, 5) (a) [6 marks] Find the coordinates of the point of intersection of the medians of \(\triangle EFG\). Make sure to include a labelled diagram. (Do NOT use technology) (b) [6 marks] Find the point of intersection of the right bisectors of the sides of \(\triangle EFG\). Make sure to include a labelled diagram. (Do NOT use technology) (c) [6 marks] Find the point of intersection of the altitudes of the sides of \(\triangle EFG\). Make sure to include a labelled diagram. (Do NOT use technology) (d) [4 marks] Verify that these three points of intersection are collinear. (Do NOT use technology) Q4. Consider the following relations y = x^2 - 4x y = x^2 - 4x + 5 y = x^2 - 4x - 2 (a) [6 marks] Graph the relations listed above by developing a table of values and plotting points. Then find the first and second differences (b) [3 marks] Examine each graph and use its properties to write an equation in the form of y = a(x - h)^2 + k (c) [2 marks] What conclusions can you make about the relation y = x^2 - 4x + c for different values of c

          Q3. The vertices of \(\triangle EFG\) are E(-3, 5), F(0, -1) and G(6, 5)
(a) [6 marks] Find the coordinates of the point of intersection of the medians of \(\triangle EFG\). Make sure to include a
labelled diagram. (Do NOT use technology)
(b) [6 marks] Find the point of intersection of the right bisectors of the sides of \(\triangle EFG\). Make sure to include a
labelled diagram. (Do NOT use technology)
(c) [6 marks] Find the point of intersection of the altitudes of the sides of \(\triangle EFG\). Make sure to include a labelled
diagram. (Do NOT use technology)
(d) [4 marks] Verify that these three points of intersection are collinear. (Do NOT use technology)
Q4. Consider the following relations
y = x^2 - 4x
y = x^2 - 4x + 5
y = x^2 - 4x - 2
(a) [6 marks] Graph the relations listed above by developing a table of values and plotting points. Then find the first
and second differences
(b) [3 marks] Examine each graph and use its properties to write an equation in the form of y = a(x - h)^2 + k
(c) [2 marks] What conclusions can you make about the relation y = x^2 - 4x + c for different values of c

Q3. The vertices of EFG are E(-3, 5), F(0, -1) and G(6, 5)
(a) [6 marks] Find the coordinates of the point of intersection of the medians of EFG. Make sure to include a
labelled diagram. (Do NOT use technology)
(b) [6 marks] Find the point of intersection of the right bisectors of the sides of EFG. Make sure to include a
labelled diagram. (Do NOT use technology)
(c) [6 marks] Find the point of intersection of the altitudes of the sides of EFG. Make sure to include a labelled
diagram. (Do NOT use technology)
(d) [4 marks] Verify that these three points of intersection are collinear. (Do NOT use technology)
Q4. Consider the following relations
y = x^2 - 4x
y = x^2 - 4x + 5
y = x^2 - 4x - 2
(a) [6 marks] Graph the relations listed above by developing a table of values and plotting points. Then find the first
and second differences
(b) [3 marks] Examine each graph and use its properties to write an equation in the form of y = a(x - h)^2 + k
(c) [2 marks] What conclusions can you make about the relation y = x^2 - 4x + c for different values of c

Added by Kara S.

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