Formulas
Transfomations
Nature of the Roots
Find an Integral Coefficient Quadratic Equation.
Everything else
100
x = h
What is the axis of symmetry of a quadratic equation in vertex form?
100
y-5 = - (x + 2)^2
What is a transformation left 2, up 5?
100
x^2 + 3x - 9 = 0
What is 2 real roots?
100
Roots of -3, 1
What is x^2 + 2x - 3 = 0
100
Solve the quadratic equation by the QF. 8x = 1 - x^2
What is -4 + sq. rt. 17; -4 - sq. rt 17
200
(h, k)
What is the vertex of a quadratic equation in vertex form?
200
y + 6 = 2(x + 1)^2
What is a transformation left 1, down 6?
200
3m^2 - 8m - 5 = 0
What is 2 real roots?
200
Roots of 4 + 2i, 4 - 2i
What is x^2 - 8x + 20 = 0
200
In the quadratic equation 3x^2 - 4x + k = 0 when will the equation have one real root?
When k = 4/3
300
(x, 0)
What is an x-intercept?
300
y = (x - 2)^2
What is a transformation right 2?
300
x^2 + 8x + 20 = 0
What is 2 imaginary roots?
300
Maximum value of 10, x-intercepts 1 and 3.
What is -10x^2 + 40x -30 = 0
300
Find the vertex of h(x) = (2x - 5)(2x + 5).
What is (1/2, -16)?
400
(0, y)
What is a y-intercept?
400
y + 8 = 2( x + 1)^2
What is a transformation left 1, down 8?
400
x^2 + 9 = 3x
What is 2 imaginary roots?
400
Maximum value of 9, zeros of -6 and 0.
What is -x^2 -6x = 0
400
Find the maximum value of h(x) = (2 - x)(5 + x).
What is 49/4?
500
b^2 - 4ac
What is the discriminant?
500
y = 2x^2 - 12x + 18
What is a transformation to the right 3?
500
x^2 + 4 = 4x
What is one real root?
500
Maximum value of 8, x-intercepts of 3 and 7.
What is -2x^2 + 20x - 42 = 0
500
A ball is thrown vertically upward from the ground with an initial velocity of 48 ft./sec. How high does the ball go?
What is 36 ft.?
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