Thurs May 10th – Sketching the graph of a quadratic equation

LEARNING OBJECTIVE: To understand how to sketch a quadratic graph

SUCCES CRITERIA: You will be able to find the Intercept, Roots and Minimum point of a quadratic a;lgebraicly and then use these values to plot the curve on a pair of axes.

STARTER:

On one large set of axes sketch these straight lines, use a scale of one small square, but just label every 5 on the axes.

1. Y = 2x + 4
   
2. Y = 3x – 2
   
3. Y = -4x + 8
   
4. Y = 5x – 7
   
5. Y = -3x + 10
   
6. Y = -2x – 8
   
7. Y = ½ x + 7
   
8. Y = ¼ x – 10
   

LESSON Use the equation y = x² + 9x + 14 and y = x² - 7x + 10 to develop the skills needed to be able to sketch these graphs.

1. Find the y intercept
   
2. Factorise and find the roots
   
3. Complete the square to find the Minimum point.
   

Now have a go at sketching these quadratic curves.

1. y = x² + x - 2
   
2. y = x² - x - 6
   
3. y = x² - 5x + 6
   
4. y = x² + 3x +2
   
5. y = x² + 2x – 8
   
6. y = -x² – 2x +15
   
7. y = x² +8x + 15
   
8. y = x² - x – 20
   

PLENARY: Use graph plotter in Word to show plots.