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Eleventh Grade (Grade 11) Quadratic Equations and Expressions Questions

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Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square to convert f(x)=x2+4x+1 into vertex form, and find the vertex.
  1. Vertex: (−2,−3)
  2. Vertex: (2,−3)
  3. Vertex: (−2,3)
  4. Vertex: (0,1)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Convert the quadratic function f(x)=x2+10x+24 into vertex form, and find the minimum value.
  1. Minimum value: −4
  2. Minimum value: 1
  3. Minimum value: −1
  4. Minimum value: −1.5
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Rewrite f(x)=x26x+5 in vertex form.
  1. (x3)24
  2. (x3)23
  3. (x2)2+5
  4. (x1)2+3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Given f(x)=x2+4x3, identify the maximum value.
  1. Maximum value: 4
  2. Maximum value: 2
  3. Maximum value: 3
  4. Maximum value: 1
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Grade 11 Quadratic Equations and Expressions CCSS: HSA-APR.B.3
Find the zeros.
2x2-16x+24
  1. 1,24
  2. 38
  3. -23
  4. 6,2
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square and find the vertex of f(x)=2x2+4x6.
  1. Vertex: (1,−8)
  2. Vertex: (-1,−4)
  3. Vertex: (-1,−8)
  4. Vertex: (1,−4)
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)=x25x+6and find the zeros.
  1. Zeros: x=2,3
  2. Zeros: x=-2,-3
  3. Zeros: x=1, 6
  4. Zeros: x=0,5
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square for f(x)=x24x5, then find the vertex.
  1. Vertex: (2,−9)
  2. Vertex: (-2,9)
  3. Vertex: (2,−1)
  4. Vertex: (2, 5)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor f(x)=x2-9x+18, and find the x-intercepts.
  1. X-intercepts: -3, 6
  2. X-intercepts: 3, 6
  3. X-intercepts: 6, 9
  4. X-intercepts: -6, 3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Complete the square for the function f(x)=x2+4x+1and find the vertex.
  1. Vertex:(2,3)
  2. Vertex:(2,1)
  3. Vertex:(2,1)
  4. Vertex:(0,1)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Given f(x)=x2+4x3, identify the maximum value.
  1. Maximum value: 4
  2. Maximum value: 2
  3. Maximum value: 3
  4. Maximum value: 1
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Convert f(x)=x2-8x+16 into vertex form.
  1. (x-4)2+16
  2. (x+4)2-16
  3. (x+4)2+16
  4. (x-4)2
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