Quadratic Functions - Question Set 4


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The general equation for this section is y = a(x-p)2+q.

  1. In the table below, fill in the values:

    Equation a p q y-intercept Vertex Max/Min
    y = 4(x-3)2+1            
    y = -2(x+1)2+4            
    y = -2(x-7)2-1            
    y=4(x+3)2-2            

  2. How does the value of p in the equation help you to find the vertex of the parabola?

  3. How does the value of q in the equation help you to find the vertex of the parabola?

  4. What effect does a have:

  5. If the vertex is a maximum point what is true of a?

  6. If the vertex is a minimum point what is true of a?

  7. How can you tell from the range of y values in the table, where your vertex is?

  8. Fill in the chart for the quadratic functions that have the following characteristics:

    Equation a p q y-intercept Vertex Max/Min
     
    2
    5
    -2
         
     
    -3
    -2
    5
         
     
    5
    -1
    0
         
     
    -1
    0
    -4
         

  9. Write the equation for a quadratic function that:

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Margaret Sinclair