2.1-2.2 Test

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

Suppose a parabola has vertex (2, -1) and also passes through the point (3, 1). Write the equation of the parabola in vertex form.

• $y=2\left(x-2\right)^2-1$

• $y=2\left(x+2\right)^2-1$

• $y=\left(x-2\right)^2-1$

• $y=2\left(x-2\right)^2+1$

Describe the transformation:

 $f\left(x\right)=-\left(x+4\right)^2+2$  

• left 4, up 2

• reflected down, right 4, up 2

• reflected down, left 4, up 2

• reflected down, up 4, right 2

Identify the vertex and the axis of symmetry of the graph of the function

 $y=-3\left(x-2\right)^2+4$  

• Vertex: (2, -4)
  Axis of symmetry: x = 2

• Vertex: (-2, 4)
  Axis of symmetry: x = -2

• Vertex: (2, 4)
  Axis of symmetry: x = 2

• Vertex: (-2, -4)
  Axis of symmetry: x = -2

What is the vertex of the quadratic function:
y = x² - 6x + 11?

• (3,2)
• (-3,-2)
• (-3,2)
• (3,-2)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.C.8

Graph the quadratic.

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7A

Identify the maximum or minimum value and the domain and range of the graph of the function

 $y=2\left(x-3\right)^2-4$  

• minimum value: -4
  domain: all real numbers
  range:  $y\ge4$  

• maximum value: -4
  domain:  $x\le-4$  
  range: all real numbers

• maximum value: 4
  domain: all real numbers
  range:  $y\le4$  

• minimum value: 4
  domain:  $x\ge4$  

  range: all real numbers

Suppose a parabola has an axis of symmetry at x = -7, a maximum height of -2 and also passes through the point (-6, -6). Write the equation of the parabola in vertex form.

• $y=\left(x+7\right)^2-2$

• $y=4\left(x+7\right)^2+2$

• $y=-4\left(x-7\right)^2-2$

• $y=-4\left(x+7\right)^2-2$