Quadratics Transformations and Characteristics

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

Which of the following describes the graph of f(x)= x² - 2x -15.

• The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)

• The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)

• The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)

• The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)

Which function best models the data in the given table?

• y = -3x + 9

• y = 4x² - 3x + 1

• y = 5.2(.75)^x

• y = -3x² + 4x + 1

Vertex: ​ (a)   Y-intercept: ​ (b)   Axis of Symmetry: ​ (c)   Max or min: ​ (d)   Range:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max @ y = 4

• ( -∞, 4]

• (4,3)

• (-5,0)

• y = 3

• [4, ∞)

• Min @ y = -5

Label the graph. Match the zero smaller and larger values by placing the box on the graph next to what it represents.

g

f

b

e

a

Maximum

Vertex (-2, 4)

x=-4

x=0

Axis of Symmetry: x = -4

Axis of Symmetry: x = -2

Axis of Symmetry: x = 0

Vertex (-4, 2)

Minimum

Label the graph. Match the zero smaller and larger values by placing the box on the graph next to what it represents.

f

h

c

b

e

Maximum

Vertex (-4, 3)

Vertex (3, -4)

Axis of Symmetry: x = -4

Minimum

Larger Zero Value

Axis of Symmetry: x = 3

Smaller Zero Value

• (0, 4)

• x = 2

• (4, 0)

• x = -2

• (2, 6)

• (5, 0)

Vertex: ​ (a)   Y-intercept: ​ (b)   Axis of Symmetry: ​ (c)   Max or min: ​ (d)   Range:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max @ y = 4

• ( -∞, 4]

• (4,3)

• (-5,0)

• y = 3

• [4, ∞)

• Min @ y = -5

Vertex: ​ (a)  

Y-intercept: ​ (b)  

Axis of Symmetry: ​ (c)  

Max or min: ​ (d)  

Max or Min value:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max

• y = 4

• 4,3

• (4,3)

• (-5,0)

• y = 3

• Min

• (0, 4)

• x = 2

• (4, 0)

• x = -2

• (2, 6)

• (5, 0)