Question: t 1: Objective: How does the change in the value of k in y = x2 + k, where k is a constant, affect the

 t 1: Objective: How does the change in the value of

t 1: Objective: How does the change in the value of k in y = x2 + k, where k is a constant, affect the graph? 1. Explore how the change of the value of k in y = x2 + k, where k is a constant, affects the graph. 2. Describe the graphical relation between y = x2 + k and y = x2 where k is a constant, k e R 3. Justify your answer. 4. Hence, write down the vertex of y = x2 + k Part 2: Objective: How does the change in the value of h in y = (x -h), where h is a constant, affect the graph? 1. Explore how the change of the value of h in y = (x - h), where h is a constant, affects the graph. 2. Describe the graphical relation between y = (x - h) and y = x2 where h is a constant, he R 3. Justify your answer. 4. Hence, write down the vertex of y = (x -h) Part 3: Objective: How does the change in the value of h and k in y = (x - h)+ k affect the graph ? 1. Explore how the change of the value of h and k in y = (x - h) + k affects the graph. 2. Describe the graphical relation between y = (x-h) + k and y = x2, where h and k are constants, h, ke R 3. In order to test the validity: a) Assume a quadratic function of your choice in the form of y = (x - h) + k b) Sketch the function you assumed c) Plot the function you assumed using technology then compare. 4. Justify the rule found in question 2. End of task Good Luck @

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