Quadratic functions and equations quiz: N(A)-Level Additional Mathematics (SEAB 4051) quiz

$a(x + p)^2 + q$

$ax^2 + q$

$(x + p)(x + q)$

$ax + p$

$(-3, 4)$

$(-3, -4)$

$(3, 4)$

$(3, -4)$

$(x + 3)^2 - 9$

$(x + 6)^2 - 36$

$(x + 3)^2 + 9$

$(x + 3)^2$

$x = 2$

$x = -2$

$y = 5$

$x = 5$

$a < 0$

$a > 0$

$a = 0$

$q > 0$

$b^2 - 4ac$

$b^2 + 4ac$

$4ac - b^2$

$2a$

no real roots

one repeated real root

two distinct real roots

exactly three roots

two distinct real roots

two complex roots only

no real roots

one repeated (equal) real root

$0$

$16$

$32$

$-16$

$k^2 - 36 = 0$

$k^2 + 36 = 0$

$k^2 - 9 = 0$

$k - 6 = 0$

$-2 < x < 3$

$x < -2$ or $x > 3$

$-3 < x < 2$

$x < -3$ or $x > 2$

$2 < x < 3$

$x < 2$ or $x > 3$

$x < 3$ only

$-3 < x < -2$

differentiate the expression

rearrange so one side is zero

complete the square always

take logarithms

two distinct real roots

one repeated real root

no real roots

cannot be determined