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Introduction to Quadratic Functions.pptx
1.
Introduction to Quadratic Functions
2.
Functions – Set of
number pairs of which no two first numbers are the same – One-to-one correspondence
3.
Quadratic Functions –Functions that
can be described by equations of the form 𝑦 = 𝑎𝑥2 + 𝑏𝑥 + 𝑐 where a, b and c are real numbers and a ≠ 0.
4.
Quadratic Functions –Its graph
is known as a parabola (a smooth curve) –Its table of values has a constant value on the second differences in y
5.
Consider the example
below: X -3 -2 -1 0 1 2 3 Y 5 0 -3 -4 -3 0 5 𝑦 = 𝑥2 − 4 5 3 1 -1 -3 -5 2 2 2 2 2
6.
Seat Work I. Table
completion Equations Quadratic Function? Yes or No Justification 1. 𝑦 = 𝑥2 + 2 2. 𝑦 = 2𝑥 − 10 3. 𝑦 = 9 − 2𝑥2 4. 𝑦 = 2𝑥 + 2 5. 𝑦 = 3𝑥2 + 𝑥3 + 2
7.
Seat Work II. Find
the second differences in y then write Q on the blank if the given table of values show quadratic function, NQ if not. ____1. ____2. X -2 -1 0 1 2 Y 4 1 0 1 4 X -2 -1 0 1 2 Y -1 -2 -1 2 7
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