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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
Find the zeros of f(x)=x2+7x+12 by factoring.
  1. x=3,−4
  2. x=3, 4
  3. x=4,−3
  4. x=-3,−4
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

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Use the method of completing the square to find the vertex form of the function h(d). Round computed coefficients and terms to one decimal place, if necessary.
  1. h(d)=-0.0013(d+246.2)2+0.2
  2. h(d)=(-0.0013d-0.6)2+0.2
  3. h(d)=-0.0013(d2-246.2)-60,594.6
  4. h(d)=-0.0013(d-246.2)2+78.9
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor f(x)=x2−6x+8 then find the zeros.
  1. Zeros:x=2,4
  2. Zeros:x=4,4
  3. Zeros:x=2,3
  4. Zeros:x=-2,-4
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
Factor the quadratic function f(x)=x2−3x−28, and find the zeros.
  1. Zeros: x=7,4
  2. Zeros: x=7,-4
  3. Zeros: x=-2,14
  4. Zeros: x=7,3
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function f(x)=x2−9x+18 and find the zeros.
  1. x=3, 6
  2. x=-3,6
  3. x=6, 9
  4. x=-6, 3
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

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What facts about the golf ball's trajectory can be determined directly from the vertex form? Choose all that apply.
  1. The amount of time it was in the air for.
  2. Its maximum height.
  3. At what distance the maximum height occurred.
  4. At what time the maximum height occurred.
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
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function f(x)=x2−5x+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)=3x2+6x+4and identify the vertex.
  1. (−1,−1)
  2. (1,−5)
  3. (−1,1)
  4. (−1,-2)
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

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Which of the following is the fully factored form of h(d)? While performing calculations, keep at least 4 decimal places.
  1. h(d)=-0.0013(d+0.2)(d-492.5)
  2. h(d)=-0.0013d(d-492.3)+0.13
  3. h(d)=(d-0.2)(d+492.5)
  4. h(d)=-0.0013(d+3.7)(d-134.4)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Convert the quadratic function f(x)=x2-10x+25 into vertex form and identify the vertex.
  1. Vertex:(-5,0)
  2. Vertex:(-5,25)
  3. Vertex:(5,25)
  4. Vertex:(5,0)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
What are the zeros of the function f(x)=x2+2x−15?
  1. Zeros:x=−3,5
  2. Zeros:x=−5,3
  3. Zeros:x=1,-15
  4. Zeros:x=−1,15
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
What are the x-intercepts of the quadratic function f(x)=x2−6x+9?
  1. x=1
  2. x=3
  3. x=6
  4. x=9
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Convert the quadratic function f(x)=3x2+12x+7 into vertex form by completing the square, and find the vertex.
  1. Vertex: (2,5)
  2. Vertex: (-2,2)
  3. Vertex: (3,1)
  4. Vertex: (-2,-5)
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function f(x)=x2+5x+6 and find the zeros.
  1. x=2,3
  2. x=-2,-3
  3. x=-1, 5
  4. x=1,6
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

This question is a part of a group with common instructions. View group »

What information can be determined directly from the factored form of the function h(d)? Choose all correct answers.
  1. The ball's initial height.
  2. The total horizontal distance it traveled.
  3. The angle the ball was hit at.
  4. The total time the ball was in the air for.
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