1. Quadratics
graphs

2. ITWTAWWTQ KUS objectives
BAT sketch graphs and identify their equations from given information
Starter:
Where does the graph cross the x-axis?
Where does the graph cross the y-axis?
What is the equation of the graph?

3. Points (1, 0) and (-2, 0) on the x-axis
1. If that was the answer ….. What was the question?
Points (1, 0) and (-2, 0) on the x-axis
Point (0, -2) on the y-axis
𝑓 𝑥 = 𝑥 2 +𝑥−2
Where does the graph of f(x) intersect the axes?

4. Points (2, 0) and (-2, 0) on the x-axis
2. If that was the answer ….. What was the question?
Points (2, 0) and (-2, 0) on the x-axis
Point (0, 4) on the y-axis
𝑓 𝑥 =4− 𝑥 2
Where does the graph of f(x) intersect the axes?

5. Points (1, 0) and (-4, 0) on the x-axis
3. If that was the answer ….. What was the question?
Points (1, 0) and (-4, 0) on the x-axis
Point (0, 4) on the y-axis
𝑓 𝑥 =4−3𝑥− 𝑥 2
Where does the graph of f(x) intersect the axes?

6. Points (2, 0) and (4, 0) on the x-axis
4. If that was the answer ….. What was the question?
Points (2, 0) and (4, 0) on the x-axis
Point (0, 8) on the y-axis
𝑓 𝑥 = 𝑥 2 −6𝑥+8
Where does the graph of f(x) intersect the axes?

7. (coefficient x squared = 1)
5. If that was the answer ….. What was the question?
Point (3, 0) on the x-axis
Point (0, 9) on the y-axis
(coefficient x squared = 1)
𝑓 𝑥 = 𝑥 2 −6𝑥+9
Where does the graph of f(x) intersect the axes?

8. (coefficient x squared ≠ 1)
6. If that was the answer ….. What was the question?
Point (1, 0) on the x-axis
Point (0, 2) on the y-axis
(coefficient x squared ≠ 1)
𝑓 𝑥 =− 2𝑥 2 +4𝑥−2
Where does the graph of f(x) intersect the axes?

9. (coefficient x squared ≠ 1)
7. If that was the answer ….. What was the question?
Point (2, 0) on the x-axis
Point (0, 2) on the y-axis
(coefficient x squared ≠ 1)
𝑓 𝑥 = 1 2 𝑥 2 −2𝑥+2
Where does the graph of f(x) intersect the axes?

10. (coefficient x squared ≠ 1)
8. If that was the answer ….. What was the question?
Point (1, 0) on the x-axis
Point (0, 2) on the y-axis
(coefficient x squared ≠ 1)
𝑓 𝑥 =− 2𝑥 2 −8𝑥−8
Where does the graph of f(x) intersect the axes?

11. One thing to improve is –
KUS objectives BAT
self-assess
One thing learned is –
One thing to improve is –

12. END