Quadratics
Given a ball is thrown in the air and its equation is h(t) = -16t2 + 40t + 20, how high was the platform that the ball was thrown from?
What is 20 feet?
Solve: (x-2)1/3 + 4 = 6
What is 10?
Given point A(-2,4) is translated up 3 and left 5, what is the new coordinates for A'?
What is (-7, 7)?
Given a ladder is leaning against a building that is 50 feet tall at an angle of elevation of 60. How far away is the base of the ladder from the building?
What is 28.9 feet?
The best method to solve the quadratic 2x^2 -3x + 5.
What is the Quadratic Formula?
Given a diver is diving from a platform into the water and his path is measured h(t) = -16t2 + 30t + 40. What is the maximum height of the diver?
What is 54 feet?
Simplify (72x6y8)1/3
What is 2x2y2 (9y2)1/3?
Given F(5, -3) is reflected across the line y=x, find the new coordinates for F'.
What is (-3,5)?
Given a man sights a boat in the water from the top of a lighthouse at an angle of depression of 40. If the boat is 70 feet away from the lighthouse, how tall is the lighthouse?
What is 58.7 feet?
Using this form of the quadratic equation makes finding the vertex of the quadratic very simple.
What is vertex form?
Given there is a July 4th celebration where the path of fireworks follows the equation h(t) =-16t2 +50t. How many seconds did it take for the fireworks to reach its maximum height?
What is 1.6 seconds?
Solve: 4(x + 4)1/4 + 3 = 15
What is 77?
Given H(-4, -6) is rotated 270 counterclockwise about the origin. Find the new coordinates for H'.
What is (-6, 4)?
Given a person is flying a kite and the length of the string is 50 feet. If the kite is 35 feet in the air, what is the angle of elevation the kite string makes with the ground?
What is 44?
The method best used to solve the quadratic 3(x-4)^2 + 10.
What is Principle of Square Roots?
Given a ball is thrown and its path is measured by h(t) =-16t2 + 60t + 10. How long did it take before the ball hit the ground?
What is 3.9 seconds?
If it takes 7 hours for 4 bakers to bake cookies, how many people are needed to bake the same amount of cookies in 3 hours and 45 minutes (Think inverse variation)?
What is 8 people?
Given K(4, -5) is dilated by k = 2/3. Find the new coordinates for K'.
What is (8/3, -10/3)
What is 100.7 feet?
When given a quadratic equation in this form, x^2 -4x -12, this method would be the easiest for solving.
What is factoring?
Given the equation y = 2x2 - 4x + 10, which answer below is equivalent?
a.) y = 2(x-8)2+1 c.) y = 2(x-1)2+8
b.) y = -2(x-1)2+8 d.) y = -2(x-8)2+1
What is C
If taxes on a $250,000 house are $2800, how much would a person with a house that cost $70,000 have to pay in taxes (Think Direct Variation)?
What is $784?
Given J(3, -7) is reflected over the y-axis and then rotated 90 counterclockwise. Find the new coordinates for J'.
What is (7,-3)?
Given a tree broke off at a point 12 feet up from the bottom of its base. The top of the tree made a 27 angle with the ground. How far was the top of the tree from its base and how tall was the tree before it broke off?
What is 23.6 feet from the base and what is 38.4 feet tall?
These are three other names used for giving the solution for a quadratic equation.
What are x-intercepts, roots, and zeros?