Vertex
f(x) = x2 - 4x
What is (2, -4)
What is x = -b/2a
f(x) = x2 - 4x + 1
What is Opens UP, a = 1 > 0
f(x) = (x - 2)2 + 3
Include Key Features:
A. Vertex
B. Axis of Symmetry
C. Opens up/ Opens down
What is
A. Vertex: (2, 3)
B. Axis of Symmetry: x = 2
C. Opens up: Min
A student says: "The graph of y = -x2 + 4 opens up"
What is the mistake?
It actually opens DOWN because a = -1
f(x) = x2 - 6x + 5
What is (3, -4)
f(x) = x2 + 8x + 12
What is x = -4
What is Opens DOWN
f(x) = x2 - 4x + 1
A. Vertex
B. Axis of Symmetry
C. Opens up/ Opens down
What is
A. Vertex: (2, -3)
B. Axis of Symmetry: x = 2
C. Opens up: Min
f(x) = (x - 2)2 + 1.
Will the graph eever touch or go below the x-axis?
No because the vertex is (2, 1), so the graph stays above.
f(x) = -x2+4x - 5
What is (2, -1)
f(x) = -x2 - 4x + 1
What is x = -2
f(x) = 3x2 - 5x + 4
What is Opens UP
f(x) = (x + 1)2 - 4
Include the Key Features:
A. Vertex:
B. Axis of Symmetry:
C. Opens up/down
What is
A. Vertex: (-1, -4)
B. Axis of Symmetry: x = -1
C. Opens up: Min
Which graph has the same vertex?
A. y = (x - 3)2 + 2B. y = (x + 3)2 + 2
C. y = ( x - 2)2 + 3
A. y = (x - 3)2 + 2
f(x) = 2x2 - 8x + 6
What is (2, -2)
f(x) = 2x2 -- 10x + 3
What is 10/4 or 2.5
Which function opens down AND is wider than y = x2?
A. f(x) = -x2
B. f(x) = -3x2
C. f(x) = 1/2x2
What is A. f(x) = -x2
f(x) = -(x + 1)2 + 2
Include the Key Features:
A. Vertex:
B. Axis of Symmetry:
C. Opens up/down
What is
A. Vertex: (1, 2)
B. Axis of Symmetry: x = 1
C. Opens down: Max
A graph has:
A. Opens down.
B. Has a vertex (2, 3).
Write one possible equation
f(x) = -(x - 2)2 + 3
f(x) = -2(x - 2)2 +3
f(x) = -3(x - 2)2 +3
f(x) = -1/2(x - 2)2 +3
The vertex of a quadratic is: (-3, -4). The equation is: f(x) = 2x2 + bx + c
What is the value of b?
What is b = 12
A quadratic has am axis of symmetry: x = -2. One of the terms in the equation is + 4x.
What must the value of "a" be if the equation is in the form: f(x) = ax2 + 4x + c
What is a=1
Which graph is narrower AND opens up?
A. f(x) = x2What is B. f(x) = 4x2
f(x) = -x2 + 4x + 1
Include the Key Features:
A. Vertex:
B. Axis of Symmetry:
C. Opens up/down
What is
A. Vertex: (2, 5)
B. Axis of Symmetry: x = 2
C. Opens down: Max
What is the quadratic formula?