Quadratic Graphs and their Properties
A graph shows a quadratic function opening down, what is the value of "a" in ax^2+ bx + c?
Negative
All quadratic functions are written in standard form when they have these terms
x^2 term, x term, and constant term
What are the two methods we learned to simplify quadratic equations?
distributive property and diagram
What is the Quadratic Formula?
x = (-b ± √b^2 - 4ac)/2a
Solve the equation 4x2 + 25 = 100.
x = ±5
The quadratic function y=5x2 + 10x - 2 has a vertex that is a...
Minimum
An object is represented by the equation -16x^2 + 48x + 70 after being shot from a cannon. When does the object hit the ground?
x = 4.07
Solve the equation x2 + 7 = 88
x = 9, -9
The equation 2x2 + 75 = 75 has how many solutions?
1 solution
Solve the equation 9x2 + 39n + 36 = 0
x = -4/3, -3
Order the following quadratic functions in order from most stretched to least stretched: y=4x2, y=-12x2, y=11x2, y=-2x2
y=-12x2, y=11x2, y=4x2, y=-2x2
If the AOS of a quadratic function is x=2 and the quadratic function is x2 - 9a +18 = 0 what is the coordinates of the vertex?
(2,4)
Solve the equation 7x2 + 68 = -380
No solution
Simplify: (x-5)(10x+5)
10X^2 - 45x -25
Solve the equation 7x2 + 84 = -49x
x = -4, -3
Order the following quadratic functions in order from most stretched to least stretched:y=4x2, y=2/3x2, y=-2x2, y=-2/5x2
y=-2/5x2, y=2/3x2, y=-2x2, y=4x2
Find the axis of symmetry and coordinates of the vertex for the quadratic function 2x2 + 6x + 4 = 0
x = -6/4, (-6/4, -1/2)
What is the output when x is 6 of the equation x2 + 15x + 30
156
find the zeros of this equation: x2 + 12x + 35
x = -7, -5
x = 8/3, -5
Create a table to represent the graph y = 5x2 from x=-2 to x=2.
(-2,20) (-1,5) (0,0) (1,5) (2,20)
Miss Failla threw a baseball and it's height h after t seconds is modeled by the function h = -16t2 + 76t. When does the baseball reach its maximum height, and what is the height?
2.25 seconds, 90 ft
find the zeros of the equation 3x2 - 12x - 15
x = 5, -1
Simplify: (2x-5)(3x+10)
6x^2 + 5x - 50
Solve the equation x2 - 2x - 10 = 5
x = 5, -3