Chapter 8

y=ax²

100

Compare g(x)=2x² to f(x)=x²

g will stretch by a factor of 2

200

Compare g(x)=0.5x² to f(x)=x²

G will shrink by a factor of 0.5

300

Compare g(x)=-x² to f(x)=x²

graph g will be flipped compared to graph f

400

Compare g(x)=-5x² to f(x)=x²

Graph G will flip and stretch by a factor of 5

500

Compare g(x)=-3/4x² to f(x)=x²

g will flip and shrink by a factor of 3/4

y=ax²+c

100

Compare g(x)=x²+3 to f(x)=x²

g will shift up by 3

200

Compare g(x)=x²-6 to f(x)=x²

g will shift down by 6

300

Compare g(x)=3x²+8 to f(x)=x²

g will stretch by a factor of 3 and shift up by 8

400

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

500

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.

y=ax²+bx+c

100

What is the y intercept of y=x²+6x+9

y=9

200

What is the Axis of Symmetry of the equation of y=2x²+8x-1

x=-2

300

What is the Vertex of the equation of y=2x²-4x+5

(1, 3)

400

What is the domain and range of y=3x²-6x+5?

Domain: All Real Numbers

Range: y≥2

500

Tell whether y=-4x²-24x-19 has a maximum or minimum value. Then find the value.

Maximum value of 17

Characteristics

100

List two characteristics of the graph on slide 1

Domain: All Real Numbers

Range: y≤9

Vertex: (5, 9)

Axis of Symmetry: x=5

200

List two characteristics of the graph on slide 2

Domain: All Real Numbers

Range: y≤4

Vertex: (-1, 4)

Axis of Symmetry:x=-1

300

List three characteristics of the graph on slide 3

Domain: All Real Numbers

Range: y≥-10

Vertex: (2, -10)

Axis of Symmetry: x=2

400

List three characteristics of the graph on slide 4

Domain: All Real Numbers

Range: y≤1

Vertex: (-4, 1)

Axis of Symmetry: x=-4

500

List four characteristics of the graph on slide 5

Domain: All Real Numbers

Range: y≥-10

Vertex: (-3, -10)

Axis of Symmetry: x=-3

All of the Above

100

Graph y=-2x² show your table of value

x.  -2.   -1.   0.   1.   2

y.   -8.  -2.   0.  -2.  -8

200

Graph f(x)=x²+4 show your table of values

x.  -2    -1    0    1    2

y.    6     5    4    5    6

300

Describe the domain and range of y=x²-2x-3

Domain: All Real Number

Range: y≥-4

400

Random Question of the Day

Where do you find roads without vehicles, forests without trees, and cities without houses?

A Map

500

List four characteristics of the graph on slide 6

Domain: All Real Numbers

Range: y≥2

Vertex: (1, 2)

Axis of Symmetry: x=1