4C- The squareroot graph

Objectives

  1. identify the equation of the square root relation
  2. identify the dilation factor and the translation factors
  3. recognize the shape of the relation and its reflection in both x and y axis
  4. Exercise 4C: Q1,2

Task 1: Investigating the variables a,h,k
Play around with the variables and answer the following questions in your book
  1. Describe the graph graph when you increase and decrease 'a'
  2. Describe the graph graph when you change 'h' and 'k'
  3. what conclusion can you make about the coordinate (h,k) from the equation

Task 2: Investigating the reflection of the graph in x-y axis
Play around with the variables and answer the following questions in your book
  1. Describe the graph when 'a' is negative
  2. Describe the graph the graph when 'b' is negative
  3. Describe the graph when both 'a' and 'b' are negative
  4. Describe the graph when you change 'b'

Task 3: Investigating dilation factor from y-axis graphs
  1. Write the equation of this square root function using the variables given to you
  2. Using the equation, explain why the endpoint of the graph is at x=2 and y=2

Task 4: Copy the  notes


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