Function Transformation Quiz

What is the Vertex coordinates for the following parabola:

2(x - 3) ² + 4

• (2,4)

• (3,4)

• (-3,4)

• (-2,4)

If the a value is negative, which direction does the function open?

• up

• down

• left

• right

Tags

CCSS.HSF-IF.C.7A

Which of the following equations is a parabola?

• y = 2x + 4
• y = 2x³ + 4
• y = 2x² + 4
• y = 2^x

Tags

CCSS.HSA.REI.B.4

What is the vertex of this graph?

• x=2

• y=-3

• (2, 1)

• y=1

Which transformation maps the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting 4 units up

• a translation shifting 4 units down

• a translation shifting 4 units to the left

• a translation shifting 4 units to the right

Which transformation will occur if f(x) = x² is replaced with f(x) = 2x^{2 ?}

• Vertical Compression by a factor of 2

• Vertical Stretch by a factor of 2

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which transformation will occur if f(x) = x² is replaced with f(x) = 1/2x²?

• Vertical Compression by a factor of 1/2

• Vertical Stretch by a factor of 1/2

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which transformation will occur if f(x) is replaced with f(x) + 2?

• Translation left 2 units

• right 2 units

• translation up by 2 units

• left 2 units

Describe the transformation of y = f(x) for the new function
 y = f(x) + 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function

y = 5f(x)

• The graph of y = f(x) was shifted right 5

• The graph of y = f(x) was shifted up 5

• The graph of y = f(x) was compressed vertically by a factor of 5

• The graph of y = f(x) was stretched vertically by a factor of 5