Quadratic Functions
The constant that should be added to the expression to complete the square: x2+16x
What is 64?
Describe the transformation that is applied to the parent function f(x) = x2 -5
What is 5 units down?
True or false. I can prove triangles congruent using AAA.
What is false?
The ratio in a right triangle of adjacent to hypotenuse
What is cosine?
A bag contains 5 quarters, 2 dimes, and 4 pennies. The probability of picking a quarter.
What is 5/11, .45, or 45%?
The solutions of y = 2x2 - x -3
What is -1 and 3/2?
FYI factor it y=(2x -3)(x - 1) then set to zero.
The new equation if the graph of the parent function f(x) = x2 is shifted 7 units down and 2 units to the right
What is (x - 2)2 - 7?
Statements Reasons
1. BX ≅ XC 1. Given
2. X is the midpoint of BC 2. ?
What is Definition of midpoint?
In a 30-60-90 right triangle, the hypotenuse is 10. The exact value of the longer leg. Round to the nearest hundredth.
What is 8.66?
Randy has 4 pennies, 3 nickels, and 3 dimes in his pocket. If he randomly chooses 2 coins without replacement, what is the probability they are both dimes. (Write as a simplified fraction)
What is 1/15?
Covert y = -x2 +10x - 4 to vertex form
What is y=-(x - 5)2 + 21?
The graph of f(x) = 2x2 – 3x + 5 will be translated 8 units down, producing the graph of q(x). The equation represents the new function, q(x).
What is q(x) = 2x2 – 3x –3?
A true statement that can be proven
What is a theorem?
Given right triangle ABC, AB = 18, BC = 24. Find the m<A. Round your answer to the nearest degree
What is 53°?
The enrollment at Southburg High School is 1400. Suppose 550 students take French, 700 take algebra, and 400 take both French and algebra. What is the probability in fraction form that a student selected randomly takes French or algebra?
What is 17/28?
The roots of 5x2 - 2x + 3 = 0
What is x=(1+i√14)/5, (1−i√14)/5?
The first rotation that will carry a regular hexagon onto itself
What is a 120° counterclockwise rotation?
The postulate that claims that if point C is on line segment AB then AC + BC = AB
What is Segment Addition Postulate?
When the angle of elevation of the sun is 78 degrees, a statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow? Round your answer to the nearest tenth
What is 28.9m?
Given: You choose 3 cans with replacement
2 cans of tomato soup, 3 cans of chicken soup, 2 cans of cheese soup, 2 cans of potato soup, 1 can of beef soup
The P(tomato soup, chicken soup, then cheese soup) (write your answer in three ways)
What is 3/250, .012, 1.2%?
What is the discriminant?Tell how many and what type of root you will have if the discriminant is:
= 0
>0
<0
What is b2 - 4ac
One real root
Two real roots
Two imaginary roots
Triangle EGF with vertices E(-5,3), G(3,6) and F(2,-2) is graphed. Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the y-axis, producing an image triangle. What transformation will map the image triangle back onto the original triangle? (You only can perform one transformation)
What is reflection across the line y = x?
If the alternate interior angles are congruent, then the lines are parallel (used to prove lines are parallel)
What is Converse of Alternate Interior Angles Theorem?
My dog, Stella, is playing in the park and sees a tree 100 m away. Since she is the dog of a mathematics teacher, she knows how to calculate the angle of elevation to the top of the tree and finds it to be about 25°. What trigonometric function can you use to find how tall is the tree? To the nearest meter, how tall is the tree?
What is tangent? What is 47m?
How many total cards are there in a standard deck of cards? How many total face cards are there in a standard deck of cards? How many cards of each suit are there in a standard deck of cards? What is the probability, as a simplified fraction, of randomly picking a King or a black card from a standard deck?
What is 52, 12, 13, 7/13