Compare g(x)=2x2 to f(x)=x2
g will stretch by a factor of 2
Compare g(x)=x²+3 to f(x)=x²
g will shift up by 3
What is the y intercept of y=x²+6x+9
y=9
List two characteristics of the graph on slide 1
Domain: All Real Numbers
Range: y≤9
Vertex: (5, 9)
Axis of Symmetry: x=5
Graph y=-2x² show your table of value
x. -2. -1. 0. 1. 2
y. -8. -2. 0. -2. -8
Compare g(x)=0.5x2 to f(x)=x2
G will shrink by a factor of 0.5
Compare g(x)=x²-6 to f(x)=x²
g will shift down by 6
What is the Axis of Symmetry of the equation of y=2x²+8x-1
x=-2
List two characteristics of the graph on slide 2
Domain: All Real Numbers
Range: y≤4
Vertex: (-1, 4)
Axis of Symmetry:x=-1
Graph f(x)=x²+4 show your table of values
x. -2 -1 0 1 2
y. 6 5 4 5 6
Compare g(x)=-x2 to f(x)=x2
graph g will be flipped compared to graph f
Compare g(x)=3x²+8 to f(x)=x²
g will stretch by a factor of 3 and shift up by 8
What is the Vertex of the equation of y=2x²-4x+5
(1, 3)
List three characteristics of the graph on slide 3
Domain: All Real Numbers
Range: y≥-10
Vertex: (2, -10)
Axis of Symmetry: x=2
Describe the domain and range of y=x²-2x-3
Domain: All Real Number
Range: y≥-4
Compare g(x)=-5x2 to f(x)=x2
Graph G will flip and stretch by a factor of 5
Compare g(x)=-3x²-8 to f(x)=x²
g will be flipped, stretched by a factor of 3 and be shifted down by 8
What is the domain and range of y=3x²-6x+5?
Domain: All Real Numbers
Range: y≥2
List three characteristics of the graph on slide 4
Domain: All Real Numbers
Range: y≤1
Vertex: (-4, 1)
Axis of Symmetry: x=-4
Random Question of the Day
Where do you find roads without vehicles, forests without trees, and cities without houses?
A Map
Compare g(x)=-3/4x2 to f(x)=x2
g will flip and shrink by a factor of 3/4
Compare g(x)=-3/7x²+3 to f(x)=x²
g will be flipped, shrank by a factor of 3/7, and be shifted up by 3.
Tell whether y=-4x²-24x-19 has a maximum or minimum value. Then find the value.
Maximum value of 17
List four characteristics of the graph on slide 5
Domain: All Real Numbers
Range: y≥-10
Vertex: (-3, -10)
Axis of Symmetry: x=-3
List four characteristics of the graph on slide 6
Domain: All Real Numbers
Range: y≥2
Vertex: (1, 2)
Axis of Symmetry: x=1