Exam 2-2

Which function shows a horizontal stretch and a vertical translation?

• f(x) = 9|-x|  + 2
• f(x) = |¹/₂x + 3| - 7
• f(x) = -|4x + 1| + 5
• f(x) = ¹/₃|2x - 4| - 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which function shows a horizontal  and vertical reflection?

• f(x) = -3|-x + 1| + 4
• f(x) = -|x - 1| + 4
• f(x) = 3|-x + 1| + 4
• f(x) = -3|x - 4| + 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Which function is graphed?

• f(x) = 2|x - 5|
• f(x) = |x - 5|
• f(x) = |x - 5| + 5
• f(x) = |x| + 5

Tags

CCSS.HSF-IF.C.7D

The function
 ^{f(t) = -2|t - 15| + 50}
is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the domain for this graph?

• 0 ≤ t ≤ 40
• 0 ≤ t ≤ ∞
• 20 ≤ t ≤ 40
• -∞ ≤ t ≤ 50

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

The function
 ^{f(t) = -2|t - 15| + 50}
is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the range for this graph?

• 20 ≤ f(t) ≤ 50
• 0 ≤ f(t) ≤ ∞
• 0 ≤ f(t) ≤ 50
• -∞ ≤ f(t) ≤ 50

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which function shows horizontal translation and a vertical stretch?

• f(x) = -2|-x | 
• f(x) = -3|x| - 7
• f(x) = -|-x + 1| + 4
• f(x) = 5|x - 4| - 1

Tags

CCSS.HSF.BF.B.3

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit
• Flips to A shape, compresses wider, shifts up 1 unit
• Flips to A shape, stretches more narrow, shifts right 1 unit
• Flips to A shape, stretches more narrow, shifts up 1 unit

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units
• Stretches more narrow, shifts down 4 units
• Compresses wider, shifts up 4 units
• Compresses wider, shifts down 4 units

Tags

CCSS.HSF.BF.B.3

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

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2