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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.

You can create printable tests and worksheets from these questions on Common Core standard HSF-IF.C.8a! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Grade 9 Quadratic Equations and Expressions CCSS: HSF-IF.C.8a
If you complete the square for [math]x^2-10x=14[/math], what will the factored quadratic be?
  1. [math](x-5)^2=39[/math]
  2. [math](x-5)^2=114[/math]
  3. [math](x+5)^2=114[/math]
  4. [math](x+5)^2=39[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8a
Complete the square and put in vertex form. The vertex of this one is (5, -3).

[math]y = x^2 - 10x + 22.[/math]
  1. [math]y = (x - 11)^2 + 5[/math]
  2. [math]y = (x - 5)^2 - 3[/math]
  3. [math]y = (x +5)^2 +3[/math]
  4. [math]y = (x - 5)^2 + 3[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.7c, HSF-IF.C.7d, HSF-IF.C.8, HSF-IF.C.8a
What are the zeros of the equation [math]y=-4x^2+x-120[/math] ?
  1. 30 , -30
  2. 1 , -1
  3. 120 , -120
  4. No Real Roots
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b, HSF-IF.C.7c, HSF-IF.C.7d, HSF-IF.C.8a
Determine the roots of the equation [math]y=6x^2+10x-24[/math]
  1. [math]-3[/math] , [math]-4[/math]
  2. [math]-3[/math] , [math]4/3[/math]
  3. [math]3[/math] , [math]3/4[/math]
  4. [math]3/4[/math] , [math]4/3[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b, HSF-IF.C.7c, HSF-IF.C.7d, HSF-IF.C.8, HSF-IF.C.8a
What are the zeros of the equation [math]y=-x^2+120[/math]?
  1. [math]+-sqrt(120)[/math]
  2. [math]sqrt60[/math]
  3. [math]sqrt(120)[/math]
  4. [math]+-sqrt60[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7c, HSF-IF.C.7d, HSF-IF.C.8a
Determine the roots of the equation [math]y=-x^2+24x-143[/math].
  1. 2 , -143
  2. 11 , 13
  3. -11 , 13
  4. No Real Roots
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b, HSF-IF.C.7c, HSF-IF.C.7d, HSF-IF.C.8a
Determine the roots of the equation [math]y=-x^2-8x+2[/math].
  1. -8.24 , 0.24
  2. -6.02 , 2.04
  3. 8.42 , -2.04
  4. 6.02, -2.04
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.B.4b, HSF-IF.C.7c, HSF-IF.C.7d, HSF-IF.C.8a
What are the zeros of the equation [math]y=3x^2-16x+2[/math]?
  1. 3 , 2
  2. .2 , 5
  3. -.12 , -5.2
  4. .128 , 5.205

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