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Math 2B Algebra formulas reduced

# Y the coefficient of the x x 2 3x 5 0 2 move the

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Unformatted text preview: x, square it and add it to both sides 2 2 9 29 3 3 x 2 3x + = 5 + = 5 + = 44 2 2 © 2005 Paul Dawkins b < p < b p >b xn + an 3 29 x = 2 4 (5) Use Square Root Property 3 29 29 x =± =± 2 4 2 (6) Solve for x 3 29 x= ± 2 2 Fo r a complete set of o nline Algebra no tes visit http://t uto rial.math.la mar.edu. © 2005 Paul Dawkins Functions and Graphs Constant Function y = a or f ( x) = a Graph is a horizontal line passing through t he point ( 0, a ) . The graph is a parabola that opens right if a > 0 or left if a < 0 and has a vertex b b at g , . 2a 2a Lin e/Linear Function y = mx + b or f ( x ) = mx + b Graph is a line with point ( 0, b ) and sl op e m. Circle 2 2 ( x h) + ( y k ) = r2 Graph is a circle with radius r and center ( h, k ) . Slo pe Slope of the line containing the two po ints ( x1 , y1 ) and ( x2 , y2 ) i s y2 y1 ri se = x2 x1 r un Slo pe – intercept form The equation of the line with slope m and y-int ercept ( 0, b ) i s y = mx + b Poi nt – Slope form The equation of the line with slope m and passing through the point ( x1 , y1 ) i s m= y = y1 + m ( x x1 ) 2 ( x h) 2 f ( x) = a ( x h) + k 2 The graph is a parabola that opens up if a > 0 or down if a < 0 and has a vertex at ( h, k ) . Parabola/Quadratic Function y = ax 2 + bx + c f ( x ) = ax 2 + bx + c The graph is a parabola that opens up if a > 0 or down if a < 0 and h...
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