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Test_1_Solutions

# Test_1_Solutions - 4(20 points 6 Find the maximum value of...

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/ MATH 110 Test 1 September 29, 2009 Name: ,501u.-boYl S Class Time: _ Instructions: Please show all work; partial credit will be given. 1. Write the general equation of a line given 2 points on it: (xu Yl) and (X2, Y2). {15 points) y- 'J i -= (:it- - jr ) (Y2-- X ,) 2. Graph y = 2x + 1. Graph another line parallel to this line and give its equation. (Be sure to clearly label your graph.) (15 points) 3. Find the equation of a line that contains the point (3, 5) and that is parallel to the line y = 2x + 3. (20 points) ,3 -lj'::: tyV( x--X I ) J-~-;;).. (x-3) ,1- 6- ~ 2-x- b !J -;;: Z)(- J

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4. If f(x) = a(x - h)2 + k, then what is the vertex? (10 points) 7k-. V't/l.;v,.. ;S .{t~ p 0:"1 & (It I )c) . 5. Find the vertex of the parabola y
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Unformatted text preview: 4. (20 points) 6. Find the maximum value of the function f defined by f(x) = -2x 2 + 8x + 6. (20 points) {,15i~ (C~:b~ ~ ~.~ lI.X :]d) J()();; -,2 (x'2_Lfx) :;. to J(x)-8 -::: -;2.( X'£--9X.)+G-g :f lx) ->J .,;: -2-( X ~-4 X f q) f ~-f()L) -g -;;: -~ {)(_,2)'2-+" J: (x:.) ::= -~ (x -L) 2. -+ ) Lf J -)~~~ .. _p-5c --{ Ivlo v0 ~ ; .5 -tt--e r 0 h t (::<.-)) 't V"(. .. /J J' ~ h .::F;3)4-· 1--1_ Mtv){ i/Viu. ..,.,. .. l!CU:::l-L 0 T T.-~ . /l c. 'f'YL 7. Extra Credit: Use completing the square for f(x) = ax 2 + bx + c. (20 points) jlK) -::: tt (x.<---I ~~ x.) t-c f (J<-) +,~ ~ 0- ( X 1.--/-It )() f C L;~: 90. .. '-t v ,-( X 1. +lL. I-+!:!.: ) -LA. Cc-tia. \.. 2.-o _ ,-. (o l<-+J:L) JC -LA ~c). ... r...
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Test_1_Solutions - 4(20 points 6 Find the maximum value of...

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