Quiz #4

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

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)
• (-6, 5)
• (-4, 3)
• (-4, 7)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x)=f(x - 3)
• g(x)=f(x) - 3
• g(x)=f(x) + 3
• g(x)=3f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

• Yes, "+3" on the end of the function moves the function to the right 3 units
• No, "+3" on the end of the function moves the function to the left 3 units
• No, "+3" on the end of the function moves the function to the down 3 units
• No, "+3" on the end of the function moves the function to the up 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The vertex of the quadratic function f(x) = -2x² + 4x + 3 is (1, 5). If g(x) = f(x - 2), what is the vertex of g(x)

• (1, 3)
• (1, 7)
• (-1, 5)
• (3, 5)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The vertex of the quadratic function f(x) = -x² - 4x + 12  is (-2, 16). If g(x) = f(x) + 3, what is the vertex of g(x)?

• (-2, 13)
• (-2, 19)
• (-5, 16)
• (1, 16)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following transformations of y = x² is NOT shown in the function y = (2x - 5)² - 3?

• Vertical Stretch
• Translation Right
• Horizontal Stretch
• Translation Up

Which of the following does NOT contain a vertical translation DOWN of y = x²?

• y = 2(x - 5)² - 3
• y = -5(x + 3)² - 2
• y = (3x - 2)² + 5
• y = -3(x - 2)² - 5

Does this graph have a maximum or minimum value?

• maximum
• minimum
• neither
• both

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8
• x=1
• x=-1
• x=2

Tags

CCSS.HSA.REI.B.4