Standard vs. Vertex Form
f(x) = a(x - h)2+k
What is vertex form?
Given f(x) = ax2 + bx + c, let x = 0 and solve for f(x)
What is "find the y-intercept?"
The factored form of x2 - 3x - 10
What is (x - 5)(x + 2)?
The simplified form of the square root of negative 9.
What is 3i?
Describe a trinomial of the form a2 + 2ab + b2.
What is a perfect square trinomial?
f(x) = -3(x - 2)2+7
What is vertex form?
Given f(x) = ax2 + bx + c, set y = 0 and solve for x.
What is "find the x-intercept?"
The factored form of 4x2 - 11x -3
What is (4x + 1)(x - 3)?
The value of i2.
What is - 1?
Describe the purpose of this formula: (b/2)2.
What is "completing the square?"
f(x)= = ax2 + bx + c
What is standard form?
Given f(x) = ax2 + bx + c = 0, the formula to find the x-coordinate of the vertex.
What is x = -b/(2a) ?
Given the quadratic (x + 7)(x + 8) in factored form, state the original quadratic.
x2 + 15x + 56
The form of a complex number.
What is a + bi?
The number that is added to x2 - 12x to complete the square.
What is 36?
f(x) = 2x2 + 4x - 5
What is standard form?
The point(s) where the graph crosses the x- axis
Given x2 - 5x -14 = 0, state the solutions.
What are x = -2 and x = 7?
The difference of (3 - 2i) - (7 + 6i).
What is -4 - 8i?
The number that must be added to x2 + 14x to complete the square.
What is 49?
(h, k)
What are the coordinates of the vertex in vertex form?
The letter a affects the graph of f(x) = a(x - h)2 + k by manipulating the graph a certain way.
What is "vertical stretch or shrink?"
Given 5x2 + 12x = 9, state the solutions.
x = -3, x = 3/5
The product of (5 + 6i)(5 - 6i).
What is 61?
The solution to the equation x2 + 14x = 51 using the "completing the square" method.
What is x = -17 and x = 3?