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Common Core Standard HSF-IF.C.8a Questions

Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

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Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Given f(x)=2x2-8x+6, factor the quadratic function and find the zeros.
  1. Zeros: 2, 3
  2. Zeros: 1, 3
  3. Zeros: 1, 2
  4. Zeros: -1, 3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Rewrite f(x)=2x2−8x+7 in vertex form.
  1. 2(x−2)2+3
  2. 2(x+2)2+3
  3. 2(x−2)2-1
  4. 2(x+2)2-1
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Find the vertex of the quadratic function f(x)=−x2+4x+5
  1. (2,9)
  2. (-2,1)
  3. (2,5)
  4. (1,9)
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the function f(x)=2x2-98.
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
What is the vertex of the quadratic function f(x)=2(x+3)2−2?
  1. Vertex:(3,−2)
  2. Vertex:(−3,−7)
  3. Vertex:(−3,−2)
  4. Vertex:(−2,−3)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Identify the vertex 3(x-2)2+3 .
  1. Vertex: (2, -3)
  2. Vertex: (2, 3)
  3. Vertex: (-2, -3)
  4. Vertex: (-2, 3)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor and find the zeros of f(x)=x2−10x+25
  1. Zeros: x=0,5
  2. Zeros: x= 5
  3. Zeros: x=5,0
  4. Zeros: x=10, 25
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic: f(x)=x2+5x−24
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Given f(x)=−x2+4x−3, identify the maximum value.
  1. Maximum value: 4
  2. Maximum value: 2
  3. Maximum value: 3
  4. Maximum value: 1
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the function f(x)=4x2+16x+64.
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Identify the x-intercepts of the function f(x)=x2−7x+10.
  1. X-intercepts: -2,-5
  2. X-intercepts: 2,5
  3. X-intercepts: 1,6
  4. X-intercepts: 0,7
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Rewrite f(x)=-x2+4x-5 in vertex form and identify the maximum point.
  1. Maximum: (2, -1)
  2. Maximum: (2, 1)
  3. Maximum: (2, 3)
  4. Maximum: (2, -3)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function f(x)=x2+6x+8, and find the zeros.
  1. Zeros: x=−2,−4
  2. Zeros: x=2,4
  3. Zeros: x=−1,−8
  4. Zeros: x=1,3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square and find the vertex of the function f(x)=x2+4x−5.
  1. (−2,−9)
  2. (2,−1)
  3. (−2,−1)
  4. (2, 9)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square for f(x)=x2+6x+5 and find the vertex.
  1. (3,−4)
  2. (-3,−1)
  3. (-3,−4)
  4. (-3,−2)
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the function f(x)=4x2-144.
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Given f(x)=x2−6x+9, factor the quadratic function and find the zeros.
  1. Zeros:1,3
  2. Zeros:3,-3
  3. Zeros:3
  4. Zeros:-3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function f(x)=2x2−8x+6 and find the vertex.
  1. Vertex: (2,2)
  2. Vertex: (-1,-4)
  3. Vertex: (1,-2)
  4. Vertex: (2,-2)
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