Sample quiz on completing the square
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- What value of $c$ will make the quadratic $x^2+6x+c$ a perfect square?
- What value of $c$ will make the quadratic $x^2+4x+c$ a perfect square?
- What value of $c$ will make the quadratic $x^2-8x+c$ a perfect square?
- Complete the square for $x^2-8x+1$.
- Write $x^2+6x+9$ as a perfect square.
- Write $25x^2+10x+1$ as a perfect square.
- Write $36x^2-60x+25$ as a perfect square.
- Complete the square in $x^2-4x-2$.
- Complete the square in $2x^2+4x+1$.
- Complete the square in $-x^2+2x+3$.
- Complete the square for $-2x^2+8x-3$.
- Find the vertex of the quadratic $3x^2+12x+1$.
- Find the vertex of the quadratic $-5x^2+20x-3$
- Complete the square for $x^2+x+1$.
- Complete the square for $-x^2+3x-5$.
- Find the vertex of the quadratic $5x^2+x-3$
- If $3x^2-7x+9$ is written in the form $a(x-h)^2+k$, determine the values of $a,h,k$
- If $3x^2-18x+27$ is written in the form $a(x-h)^2+k$, determine the values of $a,h,k$
- Find the minimum value of the quadratic $3x^2+4x+5$
- Which of the following quadratics has the smallest minimum value?