Vocabulary
What is a parabola
U shaped graph
What are the x-intercepts of y=x2+4x+3
x=-3
x=-1
Is the axis of symmetry ever horizontal
No
Can the vertex be both the max and min of the same function
What is the domain of every Quadratic Function?
All Real Numbers
(-infinity, +infinity)
What is a y-intercept
point where the graph crosses the y-axis
What is the y-intercept of y=x2+2x-1
y=-1
What is the axis of symmetry of y=x2+8x+15
x=-4
Is y=2x2+3x+7 maximum or Minimum
Minimum
What is the range of y=x2+2x-3
(-4,infinity)
What is the axis of symmetry
Vertical line splitting the parabola in half
What are the zeroes of y=x2+2x-3
x=-3
x=1
What is the axis of symmetry when the vertex is (3,4)
x=3
What is the vertex of y=x2+8x+15 and is this a max or min
(-4,-1)
Minimum
What is the range of y=-x2+6x-3
(-infinity, 6)
What are the 3 names where the graph crosses the x-axis
x-intercepts
roots
zeroes
What are the roots for y=x2-11x+24
x=3
x=8
What is the axis of symmetry for y=x2+7
x=0
What is the Vertex of y=-2x2+6x+3 and is this a max or min
(1.5,7.5)
Maximum
What is the domain and range of y=x2-4x+6
Domain: All Real Numbers
Range: (2,infinity)
What is both Domain and Range
Domain is lowest x-value to highest x-value
Range is lowest y-value to highest y-value
What are the zeroes for y=x2+7x+9
x=-5.303
x=-1.697
What is the axis of symmetry for y=4x2-3x+5
x=.375
What is the vertex of 1/2x2+3x+5 and is this a max or min
(-3,0.5)
Minimum
What is the domain and range of y=3x2+5x+9
Domain: All real numbers
Range: (6.917,infinity)