Quadratics

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

CCSS.HSG.GPE.A.2

What direction does the parabola open?

y = –3x² – 7x + 8

• Up

• Down

• Left

• Right

Does the following quadratic equation have a maximum or minimum value? How can you tell?

y=x²+2x-3

• Minimum value, because the "a" value is positive

• Maximum value, because the "b" value is positive

• Maximum value, because the "a" value is positive

• Minimum value, because the "c" value is negative

Determine the vertex of the parabola:
y = 5x² - 20x + 13

• (5, -7)
• (-2, -7)
• (2, -7)
• (-7, -2)

Tags

CCSS.HSA.REI.B.4

What is the axis of symmetry?
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

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

Match the description to its equation.
Moves up 2
Moves left 4

• A
• B
• C
• D

Forms of Quadratics - Vertex Form #1

What direction does the equation y = ½(x – 4)² – 2 face?

• Opens up with a minimum

• Opens down with a maximum

• Opens left

• Opens right

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5