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# Completing the Square - Practice #2 (Grade 10)

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## Completing the Square - Practice #2

1.
If you complete the square for $x^2-10x=14$, what number do you add to both sides of the equation?
1. 10
2. 100
3. 5
4. 25
2.
Complete the square for the expression.
$x^2 +10x$
1. $(x+5)^2 - 25$
2. $(x-5)^2 - 25$
3. $(x+10)^2 + 25$
4. $(x-10)^2 + 25$
3.
Determine the vertex form of $y = x^2 + 8x + 10$.
1. $y = (x + 4)^2 + 10$
2. $y = (x + 4)^2 - 6$
3. $y = (x + 4)^2 + 26$
4. $y = (x - 4)^2 - 6$
4.
Which shows the quadratic expression $-x^2 +4x -3$ written in the form $k-a(x-h)^2$?
1. $1-(x+2)^2$
2. $1-(x-2)^2$
3. $3-(x+2)^2$
4. $3-(x-2)^2$
5.
Complete the square and put in vertex form.
$y=x^2-10x+22$
1. $y=(x-11)^2+5$
2. $y=(x-5)^2-3$
3. $y=(x+5)^2-3$
4. $y=(x-5)^2+3$
6.
For $y = 8x^2 -80x +207$, transform to vertex form and write the coordinates of the vertex.

7.
Complete the square for each expression.
$x^2 +9x$

$x^2 - 16x$

8.
Use completing the square to put into vertex form, then write the vertex and line of symmetry.
$f(x) = x^2 + 14x +15$

$f(x) = x^2 - 12x$

9.
Solve by completing the square. $x^2+15x=-26$

10.
Put the following equation into vertex form. Then find the vertex, stating whether it is a maximum or minimum.
$y = -x^2 + 8x - 13$

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