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Unformatted text preview: tex form equation.
• Begin with a vertex equation. y = a (x − p)2 + q • Follow the order of operations:
o Brackets  nothing to do inside the parenthesis.
o Exponents  square the binomial. y = a ( x2 − 2px + p2 ) + q o Divide/multiply  multiply the constant. y = ax2 − 2apx + ap2 + q o Add/subtract  combine like terms. y = ax2 − 2apx + ( ap2 + q ) • Compare that equation to the standard form.
a= b= y = ax2 + bx
c= • Write p and q in terms of a, b, and c.
p= q= exercise: For the quadratic function y = 2x2 − 5x − 3
(i) In which direction does the parabola open?
(ii) What are the coordinates of the parabola’s vertex?
(iii) What is its maximum or minimum value?
(iv) What is the equation of parabola’s axis of symmetry?
(v) What is the domain and range of this function?
(vi) What is the yintercept of the graph? + c Unit 1 – Day 7: Quadratic Functions in Standard Form Page 2 of 2 MODELLING SITUATIONS  writing algebraic expressions and equations
Variables can be used to repr...
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This document was uploaded on 02/16/2014 for the course MATH PreCalcul at Holy Cross Regional High School.
 Fall '11
 Aytona
 Calculus, PreCalculus, Polynomials

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