Show:
AXIS OF SYMMETRY
FIND THE VERTEX
FINDING ZEROS
COMPLETE THE SQUARE
POTPOURRI
100
What is the formula for finding the Axis of Symmetry?
x = -b/2a
100
Find the vertex for y = x² + 2x
What is (-1, -1)
100
Solve for x.
(x - 4)(x + 4) = 0
x = +- 4
100
What would you add to both sides:
x² + 2x = 48
to complete the square.
What is 1?
100
Name all of the labeled points in this image.
What are the vertex, two roots and the y -intercept and its reflection?
200
Find the axis of symmetry for y = 3x² + 12x + 2
What is x = -2
200
Find the vertex for y= -3x² + 4
What is (0, 4)
200
Find the roots of y = x2 - 5x +6
What is x = 2 or x = 3
200
Explain how you would solve:
x² + 4x = 21
What is "because x² + 4x -21 is factorable (x + 7)(x - 3), the solutions are -7 or 3.
200
Tell whether the graph of the quadratic function y - x² = 10x + 1 opens upward or downward.
What is opens upward?
300
Find the axis of symmetry for y = -3x² + 10x + 9
What is x = 5/3
300
Find the vertex for y= 2x² - 4x - 6
What is (1, -8)
300
By factoring, find the roots of :
2x² + 3x - 5 = 0
What is x = - 5/2, x = 1
300
Complete the square to find the roots for x² - 6x = 7
What is x = 7 or -1?
300
Name three other words for solutions of quadratic equations
What are roots, x-intercepts, and zeros?
400
Where is the axis of symmetry of a parabola located?
The A.O.S is the vertical line passing through the vertex that divides the parabola into 2 symmetric halves. It passes through the x-coordinate of the vertex.
400
Tell whether the following statement is sometimes, always, or never true: "The vertex of a parabola occurs at the minimum value of the function"
What is sometimes
400
Using square roots, find the value of x rounded to the nearest tenth:
6x² - 7 = 35
What is x = +- 2.6
400
Complete the square to find the roots of y² + 6y = -2
What is "-3 +- sqrt of 7"
400
The domain and range of this function is:
What is the domain consists of all real numbers. The range consists of all y-values greater than or equal to −1, or in interval notation, [−1, ∞).
500
Find the axis of symmetry for y - 2x² - 4x = 1
What is x = -1
500
Find the vertex for y - 8x = 16 - x²
What is (4, 32)
500
Using square roots, find the value of x rounded to the nearest tenth:
-2 (x - 3)2 = -8
What is x = 5, x = 1
500
Solve by completing the square:
2x2 + 8x + -2 = 0
What is x = -2 +- sqrt 5.
500
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