A let x represent a number the quantity is another

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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 y-intercept 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 Pre-Calcul at Holy Cross Regional High School.

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