Transformations are made from this function f(x) = x^2
What is the parent function?
100
Standard form of f(x) = 2(x - 4)^2 + 3.
What is f(x) = 2x^2 - 16x + 35
100
Solve y = x^2 -25.
What are -5 and 5?
100
(3 - 2i) - (4 - 6i)
What is -1 + 4i
100
Form y = ax^2 + bx + c
Form y = a(x-h)^2 + k
What are the Standard and Vertex forms of a Quadratic Equation
200
Describe the translation of
y = (x - 4)^2 + 3
What is 4 units to the right and 3 units up?
200
Find the vertex, axis of symmetry, and y-intercept for
y= -x^2 + 2x - 1
What is (1,0), x = 1, and -1?
200
Solve x^2 + 10x + 25.
What is -5?
200
(1 - 3i)(5 + 2i)
What is 11 - 13i
200
The values of the x that makes a quadratic f(x) = 0
What is the zero (or x-intercepts or roots) of a quadratic function?
300
Describe the translation
y = (x+5)^2 -3
What is 5 units left and 3 units down?
300
Find the maximum or minimum for y = -16 x^2 + 32 x + 4
What is a maximum of 20?
300
Solve x^2 + 5x =24
What are -8 and 3?
300
Solve x^2 + 14x = 8
What are -7+- \/57?
300
The y-value of the vertex of a parabola when it opens upward.
The y-value of the vertex when it opens downward.
What is the minimum value?
What is the maximum value?
!! a>0 when it opens up; a<0 when it opens down !!
400
The function y = x^2 is moved 2 units right and 6 units up. Write the new function.
What is y= (x -2)^2 + 6?
400
State the domain and range of f(x) = 6x - x^2
What is a domian of all real numbers and a range of y I y<9?
400
Solve 9x^2 = 25.
What - 5/3 and 5/3?
400
Solve 6x^2 +2x = 1
What is (-1 +- \/7)/6?
or unsimplified (-2 +- \/28)/12 ... or (-2 +- 2\/7)/12
400
(h,k) of the form f(x) = a ( x- h)^2 + k
AND
(-b/2a,f(-b/2a)) of the form f(x) = ax^2 + bx + c
What is vertex form of a parabola?
500
Write the new function if y = x^2 is reflected about the x-axis, vertically stretched by a factor of 7, translated 5 units left and 3 units up.
What is y = -7(x + 5) +3?
500
A ball is hit into the air form a height of 4 feet. The function
g(t) = -16t^2 + 20t + 4 can be used to model the height of the ball where t is the time in seconds after the ball is hit. Find the maximum height the ball reaches.
What is 229 feet?
500
Solve f(x) = 2x^2 + 18 x + 28.
What are -7 and -2?
500
Solve 3x^2 + 8x + 6 = 0
What is (-4 +- i\/2)/3?
or unsimplified (-8 +- 2i\/2)/6 or ...(-8 +- i\/ 8)/6
500
The line that passes through the vertex (and splits the parabola symmetrically).