Math 2: Final Review (functions and transformations)

Two functions are: f(x)=2x-5 and g(x)=4+√x
x≥0
Find fg(15)

• 25
• 3+2√15
• 9
• 0

Tags

CCSS.HSF-BF.A.1C

• A
• B
• C
• D

What is the turning point of this graph?

• x=2
• y=-3
• (2, 1)
• y=1

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

Which of the following will be a parabola that opens down?

• y = x² -1
• y = -x²
• y = -x -1
• y = 3x²

Tags

CCSS.HSF-IF.C.7A

In vertex form, y= a(x-h)²+k,  what effect does the k have on the graph?

• Translates vertically
• Translates horizontally
• Dilates (stretches)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Tags

CCSS.HSF.BF.B.3

Tell how the function transformed from y =x²
y = -2x²

• Translated left 2 units
• Reflected over x-axis
• Stretched vertically and reflected over x-axis
• Compressed vertically and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

• horizontal shift to the left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical compression by a factor of 3
• horizontal shift to the left 2 and vertical compression by a factor of 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The graph shows the function f(x)=x³ in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  y = x³
• B.  y = -0.1x³
• C.  y = -5x³
• D.  y = -10x³

Tags

CCSS.HSF.BF.B.3

The graph shows the function f(x)=x³ in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  g(x) = -x³
• B.  g(x) = x³ - 1
• C.  g(x) = (x + 1)³
• D.  g(x) = (x - 1)³

Tags

CCSS.HSF.BF.B.3