Quadratic Transformations in Vertex Form

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

How did we transform from y=x^2? y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical compression

Which equation matches the following transformation: up 4, stretched 3, reflected down, and left 1

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

• x = 1

• x = -1

• x = 2

• x = -2

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.C.7A

What does the quadratic function that has a vertex of (3,4) look like?

• y = a(x+3)² + 4

• y = a(x-3)² + 4

• y = -a(x+3) - 4

• y = a(x-3)² - 4

Tags

CCSS.HSF-IF.C.7A

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

• (5,6)

• (0,0)

• (6,-7)

• (-6,-7)

What is the vertex for
f(x)=4(x-2)² + 3

• (-2, 3)

• (2,-3)

• (4,3)

• (2,3)