Properties of Quadratic Functions

Which of the following mean the same as x-intercept? (More than one answer! Select all that are correct)

• Zero

• Root

• Axis of Symmetry

• Solution

• Maximum

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Describe the transformations occurring to f(x) = x² + 5 if the

new equation after the transformations is

g(x) = (x - 3)² - 2

• Shifted right 3 units, shifted down 7 units

• Shifted left 3 units, shifted down 7 units

• Shifted right 3 units, shifted up 7 units

• Shifted left 3 units, shifted up 2 units

• Shifted right 3 units, shifted down 2 units

Tags

CCSS.HSF.BF.B.3

Describe the transformations on

f(x) = x² to produce g(x) = -5x²

• Shifted down, reflected across the x-axis, more wide

• Reflected across the x-axis, more wide

• Shifted down, more narrow

• Reflected across the y-axis, more narrow

• Reflected across the x-axis, more narrow

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds
• 6 seconds
• 5.5 seconds
• 5 seconds

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the formula for solving for the Axis of Symmetry?

• b²-4ac
• -b(+ -) Sq Root of b²-4ac/ 2a
• b/2a
• -b/2a

Tags

CCSS.HSA.REI.B.4

What is the domain of the function?

• D:{ x > 3}
• D:{x < 3}
• D:{all real numbers}
• D:{ -1 < x < 5}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Find the axis of symmetry for
f(x) = x²- 8x + 15.

• x = -4
• x = 4
• y = 4
• y = -4

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex?

• (2, 4)
• (3, -1)
• (0, 8)
• (4, 2)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the y-intercept of 
f(x)=2x² + 4x + 6

• (6 , 0)
• (-6 , 0)
• (0, -6)
• (0 , 6)

Tags

CCSS.HSF-IF.C.7A