Plotting Line and quadratic Graphs grade 7.pptx

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1. HOMEWORK CHECK

2. LESSON: Plotting linear and quadratic graphs SUCCESS CRITERIA I can… ____ I can complete a table of values for a function in the form ax + by = c or y = +c __ I can draw a graph of a function from a table of values.   COURSEBOOK/PRACTICE BOOK : 10.2

3. Substitution Calculate the value of y in each of the following: 3 y - x = 7 when x = 8 4 y - x + 10 when x = 6 7 y + 5 x = 11 when x = 13 67 y + 2x = 77 when x = 5 y + 5x =31 when x = 6 4 y - 2x = 2 when x = 4 10 y + 3x = 5 when x = - 10 5 y + 2x = 9 when x = - 3

4. Plotting Line Graphs To plot the line y = x + 2, I need some co-ordinates To get the co-ordinates, I use a table of values To find y, I substitute in values of x

5. Plotting Line Graphs x -2 -1 1 2 y For the line y = x + 2 When x = -2 y = -2 + 2 y = 0 When x = -1 y = -1 + 2 y = 1 1 2 3 4 When x = 0 y = 0 + 2 y = 2

6. Plotting Line Graphs x -2 -1 1 2 y Co-ordinates 1 2 3 4 (-2, 0) (-1, 1) (0, 2) (1, 3) (2, 4) Now we have some co-ordinates, we can plot them to draw the line!

7. -3 -2 -1 1 1 2 3 y -5 -4 4 5 -5 -4 -3 -2 -1 2 3 4 5 X X X X X X x -2 -1 1 2 y Co-ordinates 1 2 3 4 (-2, 0) (-1, 1) (0, 2) (1, 3) (2, 4) y = x + 2

8. Quadratic Graphs Plot a graph of the equation ‘y = x 2 + 1 5 4 2 10 2 1 2 5 10 x 2 + 1 9 1 1 4 9 x 2 3 1 -1 -2 -3 x y = x 2 + 1

9. Quadratic Graphs Plot a graph of the equation ‘y = x 2 + 2x y = x 2 + 2x 15 8 3 -1 3 x 2 + 2x 6 4 2 -2 -4 -6 2x 9 4 1 1 4 9 x 2 3 2 1 -1 -2 -3 x

10. Quadratic Graphs Plot a graph of the equation ‘y = 3 – x 2 -1 4 2 -6 2 3 2 -1 -6 3 – x 2 9 1 1 4 9 x 2 3 1 -1 -2 -3 x y = 3 - x 2

11. Plenary Where in life might you see curved lines like the ones you have been drawing?