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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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If you complete the square for $x^2-10x=14$, what will the factored quadratic be?
1. $(x-5)^2=39$
2. $(x-5)^2=114$
3. $(x+5)^2=114$
4. $(x+5)^2=39$
Complete the square and put in vertex form. The vertex of this one is (5, -3).

$y = x^2 - 10x + 22.$
1. $y = (x - 11)^2 + 5$
2. $y = (x - 5)^2 - 3$
3. $y = (x +5)^2 +3$
4. $y = (x - 5)^2 + 3$
What are the roots of the equation $y=-4x^2+x-120$ ?
1. 30 , -30
2. 1 , -1
3. 120 , -120
4. No Real Roots
Determine the roots of the equation $y=6x^2+10x-24$.
1. $-3$ , $-4$
2. $-3$ , $4/3$
3. $3$ , $3/4$
4. $3/4$ , $4/3$
What are the roots of the equation $y=-x^2+120$?
1. $+-sqrt(120)$
2. $sqrt60$
3. $sqrt(120)$
4. $+-sqrt60$
Determine the roots of the equation $y=-x^2-8x+2$.