Unit 2
What is the domain of a quadratic function?
What is: all real numbers
What do we use to factor? (Hint: Ms. Sutton loves it!)
What is: the area model
What is the parent function of a radical equation?
What is: the square root of x
What are the three similarity criteria for similar triangles?
What is: AA, SSS, SAS
What mode should our calculator be in for right triangle trigonometry?
What is: degree mode
Where can you find the x-intercepts of a quadratic?
What is: the x-axis
What is the square root of negative one?
What is: plus or minus i
What is the domain of the following equation: y=2*sqrt(x-2)+1
What is: [2, infinity)
Triangle ABC is similar to Triangle DEF. AB = 2, BC = 3, AC = 4. DE = 14, EF = 21, DF = 28. What is the scale factor from Triangle ABC to Triangle DEF?
What is: 7
When solving for angles using trigonometry, what do we use?
What is: inverse trig
What is the vertex for this quadratic equation?
y=(x+3)2-4
What is: (-3, -4)
Factor the following: x2+4x-12
What is: (x+6)(x-2)
Solve the following equation: x/4 = (x+2)/2
What is: x = -4
Given triangle FGH, I is the midpoint of FH and J is the midpoint of GH. If IJ=−9x+17, and FG=18−2x, what is the measure of FG?
What is: 16
In Triangle QRS, angle R is the right angle, angle Q = 40, and RS = 35. Solve for x. Round to the nearest tenth if necessary. What trig ratio do you need to use?
What is: 54.5 and sine
What is the shape of a quadratic called?
What is: a parabola
Solve the following equation: 4x2+1=101
What is: x=5, x=-5
When renting a limo for prom, the number of people is inversely proportional to the cost per person. Originally there were 3 people and the cost per person was $76. If the number of people changed to 12, what would be the new cost per person?
What is: 19
Triangle CDE is similar to triangle FGH. ED = 14, CD = 23, and HG = 57. Find the measure of side FG. Round your answer to the nearest tenth if necessary.
What is: 93.6
In Triangle HIJ, angle I is the right angle, HJ = 18, and IH = 9. Solve for angle J. Round to the nearest tenth if necessary. What trig ratio do you need to use?
What is: 30 degrees and sine
What is the increasing interval for this function?
y=x2+8x+12
What is: (4, infinity)
Solve the following using the quadratic formula: x2-7x-4=0
What is: (7 +- sqrt(65))/2
When building a house, the number of days required to build is inversely proportional to the number of workers. One house was built in 140 days by 6 workers. How many days would it take to build a similar house with 24 workers?
What is: 35
Quadrilateral BCDE is similar to quadrilateral FGHI. ED = 19, DC = 14, IH= 90. Find the measure of side GH. Round your answer to the nearest tenth if necessary.
What is: 44.2
Hakeem leans a 26-foot ladder against a wall so that it forms an angle of 72 degrees with the ground. What’s the horizontal distance between the base of the ladder and the bottom of the wall? Round your answer to the nearest hundredth of a foot if necessary.
What is: 8.03 feet