Quadratic Graphs and their Properties
A graph shows a quadratic function opening down, what is the value of "a".
Negative
All quadratic functions are written in standard form ________ and have a line _____ as its line of symmetry.
y = ax2 + bx + c and x = -b/2a
What are the five methods used to solve quadratic equations?
Square root method, factoring, Quadratic Formula, graphing, and completing the square
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
Find the axis of symmetry for the quadratic function x2 + 10x + 6 = y
x = -5
Solve the equation x2 + 7 = 88
x = 9, -9
The equation 2x2 + 75 = 75 has how many solutions?
1 solution
Solve the equation 3x2 + 13n + 12 = 0
x = -4/3, -3
Order the following quadratic functions in order from most VERTICALLY 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 - 4a +8 = y what are the coordinates of the vertex?
(2,4)
Solve the equation 7x2 + 68 = -380
No solution
Solve the equation x2 - 13x + 30=0
x = 3, 10
Solve the equation 7x2 + 84 = -49x
x = -4, -3
Order the following quadratic functions in order from most HORIZONTALLY 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 = y
x = -6/4, (-6/4, -1/2)
What is the discriminant of the equation x2 + 15x + 30 = -6
81
Solve the following quadratic equation by factoring x2 + 12x + 35 = 0
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)
John 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
Solve the equation 3x2 - 12x - 15 = 0 using the quadratic formula.
x = 5, -1
Solve the following quadratic equation by factoring 20x2 - 13x + 2 = 0
x = 2/5, 1/4
Solve the equation x2 - 2x - 10 = 5
x = 5, -3