Parabolas
Solve by Factoring
Solve by Square Root Property
Solve by Quadratic Formula
Misc
100
-b/2a
What is the formula for finding the vertex?
100
x = 1, -4
x^2 + 3x - 4 = 0
100
+3, -3
x^2 - 9 = 0
100
x = -b plus/minus square root of b^2 - 4ac/2a
What is the quadratic formula?
100
x = -b/2a sub x value into equation to find the y coordinate
How do you find the axis of symmetry?
200
y = ax^2 + bx + c
What is the standard form of a quadratic equation?
200
m = -2. 7
m^2 - 5m - 14 = 0
200
0
x^2 + 25 = 25
200
b^2 - 4ac
What is the discriminant formula?
200
equation has no solutions.
What does it tell you if the discriminant is less than 0?
300
It is the y-intercept and its symmetrical point on the graph.
How do you find the roots of a parabola?
300
(x + 3)^2 = 64 x^2 + 6x + 9 = 64 x^2 + 6x - 55 = 0 (x +11) (x - 5) = 0 x = 5
The sides of a square are increased by 3. The area of the new square is 64. Find the length of a side of the original square.
300
+5/2 -5/2
4x^2 = 25
300
D = 37 two solutions
What is the discriminant value of 3x^2 - 5x = 1 How many solutions does it tell you?
300
A value that looks to be correct when doing computations, but does not satisfy the equation when plugged back into the equation.
What is an extraneous value?
400
inside the parabola
What region is shaded in y is greater than x^2 + x + 1
400
x = 1, 2.5
2x^2 - 7x = -5
400
no solution
x^2 + 16 = 0
400
-1, -1.5
2x^2 + 5x + 3 = 0
400
quadratic formula: not easily factored
Which method is best to solve and why? 6x^2 + 13x - 17 = 0
500
flipped, 4 units left, 3 units down
What is the transformation of the parent graph in y = - (x + 4)^2 - 3
500
x = -5, -1/3
3x^2 + 16x = -5
500
x = -2.55 x = -7.45
(x + 5)^2 - 6 = 0
500
about .87 about -1.54
y = 3x^2 + 2x - 4
500
square root property: no x term
4x^x - 16 = 0
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