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Unformatted text preview: re would the zeros of this function appear on the graph of y = f (x) ? exercise: Determine the zero(s) of the function g(x) = 2x + 9 QUADRATIC FUNCTIONS
A quadratic function is a second degree function and can be written in its
2 • standard form: y = ax + bx + c, where a, b, and c are real numbers and a ≠ 0,
• vertex form: y = a(x − p) + q, where a, p, and q are real numbers and a ≠ 0.
2 exercise: Which of the following functions are quadratic? Explain why.
a) y = x2 − 3x b ) y = 2x + 6
c) y = (x + 4)(2x − 1)
d) y = (x + 7)2 + 5
e) y = (x + 2)(x − 2) Unit 1 – Day 2: Functions Review and Quadratic Functions Page 4 of 4 THE BASIC QUADRATIC FUNCTION AND ITS GRAPH
The equation of the basic quadratic function is y = x2 or f (x) = x2.
y Use a table of values to find ordered pairs for its graph.
± is “plus or minus” ; ±1 means “+1 or −1” 15 x 2 x =y (x,y) 0
±3 5 ±4
Plot these points and sketch the rest of the graph.
The graph is a curve called a parabola. Parts of a Parabola −5 0 5 x vertex =
axis of symmetry
equation of the axis of symmetry:
minimum value of this function:
maximum value for thi...
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