This preview shows page 1. Sign up to view the full content.
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...
View Full Document