Quadratic Transformations Attributes

The axis of symmetry of this parabola is...

• y=4

• y=-4

• x=4

• x=-4

Tags

CCSS.HSF-IF.C.7A

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A

Two characteristic of quadratic function p are given.

1. The axis of symmetry of the graph of p is x = -3.

2. Function p has exactly one zero.

Based on this information, which graph could represent p?

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• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

Describe the Transformation of the function; ​ (a)  

• Vertical Compression

• Vertical Stretch

• Horizontal Shift RIGHT

• Horizontal Shift LEFT

• Reflection over the X-Axis

• Vertical Shift DOWN

• Vertical Shift UP

Vertical Dilation

a

b

c

d

Vertical Translation

Horizontal Dilation

Vertical Dilation

Horizontal Translation

Label how each number transforms the function

b

c

d

e

Left 3

Moves up 7

Right 3

Reflected over the x-axis

Stretched by a factor of 2

"a" causes the parabola to vertically ​ (a)   when a > 1.

• stretch

• compress

a

b

c

d

e

left

up

down

reflected

right

• up 3

• down 3

• right 1

• left 1

• downward

• upward

The parent function, f(x), is transformed so that it maps into g(x). Which equation would correctly represent g(x)?

(a)  

• g(x)=f(x - 3)

• g(x)=f(x + 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2