Quadratics graphs.

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Presentation transcript:

Quadratics graphs

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?

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?

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?

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?

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?

(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?

(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?

(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?

(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?

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

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