Unit 1
List the transformations and the shape of the function y=3(x+2)2-4
What is
left 2 , down 4 , stretch by 3
Parabola (U)
Solve
y=4x-9
y=x-3
What is
(2,-1)
Find the end behavior of -8x3-5x+14
What is
up down
Factor x2+13x+36
(x+4)(x+9)
Simplify (3+2i)-(4-6i)
What is
-1+8i
List the transformations and shape of the function y=-5|x-9|+2
What is
right 9 , up 2 , stretch by 5, opens down
V shape
Solve
4x+2y=10
x-y=13
What is
(6,-7)
Subtract the following polynomials
(10x3+18x-5) - (2x3+9x2+12x)
What is
8x3-9x2+6x-5
Write an equation of a parabola with a vertex of (-1,-4) and passes through the point (3,0)
1/4(x+1)2-4
Simplify (5-i)/(3-4i)
What is
9/25 + 17/25 i
What is the vertex and a second point of the function
y=3x2-12x+5
What is
Vertex (2,-7)
2nd Point (0,5)
Solve
6x+16y=-22
4x+11y=-15
What is
(-1,1)
Find the area of a triangle with a length of 8x inches and width of (5x-3) inches.
What is
20x2-12x square inches
Factor 2x2+22x+20
What is 2(x+1)(x+10)
Solve 4x2-4x+1=-25
What is
(1+5i)/2 , (1-5i)/2
Solve x2+x-2=-2x+2 by graphing
What is
x=-4,1
At a restaurant, the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. Find the cost of a breakfast taco and the cost of a small glass of milk?
What is
$1.15 breakfast taco, $0.95 milk
Multiply
(4x2+x-5)(6x2-9)
What is
24x4+6x3-66x2-9x+45
Write an equation of a parabola with x-intercepts at (1/4,0) and (-20,0) which passes through the point (0,10).
What is y=-2(x-1/4)(x+20)
State the value of the discriminant and the number of real solutions.
-7x2+9x-16=0
What is
-367 , 2 complex (non-real) solutions
Solve -3|x+4|=-x-8 by graphing
What is
x=-5,-2
Chase and Sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of bubble gum for a total of $5.70. Sara bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60. What is the cost of fudge and bubblegum.
What is
$1.05 for fudge , $0.15 for bubblegum
Multiply
(5x-4)3
What is
125x3-300x2+240x-64
Factor 10x2-3x-1
What is
(5x+1)(2x-1)
Solve 3x2-x+3=0
What is
(1+i sqrt35)/6 , (1-i sqrt35)/6