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What is the vertex of the following equation? Also, is this a minimum or maximum?
$y = 3x^2 + 24x + 57$
1. $(-4,9)$, minimum
2. $(4,9)$, maximum
3. $(0,57)$, minimum
4. $(-12,87)$, minimum
Which equation represents the parabola shown below?
1. $y = 1/2 x^2$
2. $y = -1/2 x^2$
3. $y=2x^2$
4. $y=-2x^2$
Which equation represents the parabola shown below?
1. $y=1/2 x^2$
2. $y=-1/2 x^2$
3. $y=2x^2$
4. $y=-2x^2$
Which equation has the same solutions as $x^2 + 6x - 7 = 0$?
1. $(x + 3)^2 = 2$
2. $(x - 3)^2 = 2$
3. $(x - 3)^2 = 16$
4. $(x + 3)^2 = 16$
Find the solution of the following: $x^2 + 5 = 32$.
1. $x = +-9sqrt6$
2. $x = +-3sqrt3$
3. $x = +-sqrt32$
4. $x = +-3sqrt6$
The quadratic expression $-x^2 +4x -3$ written in the form $k-a(x-h)^2$ is
1. $1-(x+2)^2$
2. $1-(x-2)^2$
3. $3-(x+2)^2$
4. $3-(x-2)^2$
Factor the trinomial $x^2+4x-5$.
1. $(x-1)(x+5)$
2. $x^2-1$
3. $(x+4)(x+9)$
4. $5x^2-5$
Find the roots of $y=(x-6)(2x-4)$
1. 2 and 6
2. 6 and 4
3. 4 and 3
4. -4 and -2
Factor: $b^2 - b - 20$
1. $(2b - 5) (b + 4)$
2. $(b - 5) (b + 4)$
3. $(b -10) (b + 2)$
4. $(b + 5) (b - 4)$
Factor the expression.
$9x^2 + 24x +16$
1. $(x + 4)(9x - 1)$
2. $(3x + 16)(3x + 1)$
3. $(3x + 4)^2$
4. $(3x + 8)^2$
Which of the following are dependent events? There may be more than one correct answer.
1. Rolling a die three times.
2. Picking two cards from a deck of cards, one at a time, without replacement.
3. Rolling two dice, one after the other.
4. Picking three cards from a deck of cards, one at a time, with replacement.
Which quadratic equation has roots -2 and 3?
1. $x^2+x+6=0$
2. $x^2-x-6=0$
3. $x^2-6x+1=0$
4. $x^2+x-6=0$
$x^2+5x+4$
1. $(x-1)(x-4)$
2. $x+5$
3. $x^2+9$
4. $(x+1)(x+4)$