Transform
Properties in Standard Form
Solving Quadratics by Graphing and Factoring
Completing the Square
vocabulary
100
Describe the transformation of y=x^2 to obtain y= (x-5)^2
What is 5 units right?
100
Find the vertex for f(x) = x^2 -4x + 3.
What is (2,-1)?
100
Find the roots of x^2 -25.
What are -5 and 5?
100
Solve by completing the square. x^2 - 6x = 40
What are -4 and 10?
100
The values of the variables that make an equation true.
What are roots?
200
Describe the translation of y = x^2 -3
What is 3 units down?
200
Find the vertex and axis of symmetry for y= -x^2 + 2x - 1
What is (1,0) and x = 1?
200
Find the roots of x^2 + 10x + 25.
What is -5?
200
Solve by completing the square. x^2 + 18x = 15
What are -9 +- 4\/6?
200
The value of the x that makes the f(x) = 0
What is the zero of a 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
Find the roots of x^2 + 5x =24
What are -8 and 3?
300
Solve by completing the square. x^2 + 14x = 8
What are -7+- \/57?
300
the y-value of the vertex of a parabola when it opens upward
What is a minimum value?
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
Find the roots of 9x^2 = 25.
What - 5/3 and 5/3?
400
Solve by completing the square. x^2 = 27 - 6x
What are 3 and -9?
400
f(x) = a ( x- h)^2 + k
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
Find the roots of 2x^2 + 18 x + 28.
What are -7 and -2?
500
Solve by completing the square. 3x^2 - 24x = 27
What are -1 and 9?
500
a function that can be written in the form f(x) = a ( x - h)^2 + k where a is not = 0
What is a quadratic function?
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