quadratic transformation 3

What is the axis of symmetry in a function?

• The transformation of the graph

• The vertex, represented by (h,k)

• A vertical line that passes through the vertex and divides the parabola in half

• y = h

What is the axis of symmetry in the function f(x) = (x-1)² +2

• x = 1

• x = -1

• x = 2

• x = -2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

Does the function y = (x+2)² have a maximum or minimum?

• Maximum

• Minimum

• Both

• Neither

Tags

CCSS.HSF-IF.C.7A

Does the function y = -1/2(x+1)² have a maximum or minimum?

• Maximum

• Minimum

• Both

• Neither

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.B.4

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• narrower, shifted 2 units left and 5 down

• wider, shifted 5 units left and 2 down

• wider, shifted 2 units left and 5 down

• narrower, shifted 2 units left and 2 down

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

• narrower, shifted 4 units right and 1 unit up

• Reflected, wider, shifted 4 units right and 1 unit up

• Reflected, wider, shifted 4 units left and 1 unit up

• narrower, shifted 4 units right and 1 unit down

Identify the vertex of f(x) = 5(x+6)² - 7

• (5,6)

• (0,0)

• (6,-7)

• (-6,-7)

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

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