Quadratic Properties
Quadratic Functions
Solving Quadratic Equations
Factoring to Solve
Complete the Square & Quadratic Formula
100
The shape of the graph of a quadratic function.
What is a parabola?
100
The coordinates of the y-intercept for the quadratic function:
y=-2x2 + 5x - 7
What is (0,-7)?
100
Solve: x2 = 16
x = ± 4
100
m² + 8m + 7 = 0
m = -7 and -1
100
What is the value of n so that the expression x² + 14x + n is a perfect square trinomial?
49
(b/2)2
(14/2)2
72
200
The name of the line that divides a quadratic function exactly in half.
What is the axis of symmetry?
200
Use -b/2a
What is the axis of symmetry?
200
What is the solution of n² – 49 = 0?
±7
200
Solve: 0 = x2 - 6x + 5
x = 1 and 5
200
Solve: x2 + 6x = 7
x = -7 and 1
x2 + 6x + 32 = 7 + 32
(x + 3)2 = 16
x + 3 = ±4
4 - 3 = 1; and -4 - 3 = -7
300
How many zeros (x-intercepts) can a quadratic function have?
What is 2, 1, or none?
300
If the x-intercepts of a function are x = 6 and x=12, what is the Axis of Symmetry (x-value of the vertex)?
x = 9
300
What is the solution of x² + 64 = 0?
No solution
300
Find the zeros (x-intercepts) of the following:
y = x2 - 8x - 20
x = -2 and 10
300
Use to check how many solutions to a quadratic
Discriminant: b2 - 4ac
400
The name of the point on a quadratic function that will be the maximum or minimum of the function.
What is the vertex?
400
A graph is opening downward, so it's vertex is the __________ value.
maximum
400
What is the side length of a square with an area of 121x²?
±11x
400
n² + 2n – 24 = 0
n = -6 and 4
400
Quadratic Formula
x is equal to negative b plus or minus the square root of b-squared minus 4ac all over 2a
500
The value of "a" for a graph of a quadratic function opening downward.
What is negative?
500
A graph is opening upward, so it's vertex is the __________ value.
minimum
500
What is the value of V so that –9 and 9 are both solutions of x² + V = 100?
19
500
Solve using quadratic formula:
x = -2 and 1.25