Attributes of Quadratic Functions
What is the vertex of the parabola given the equation.
y=x2-4x+7?
(2,3)
What is the domain of any quadratic function?
all real numbers
What formula is used to find the roots of an quadratic equation.
quadratic formula
What direction does the graph open if the leading coefficient is negative?
Downward
What determines the range of a quadratic function?
whether the vertex opens up or down.
solve: x2-9=0
x=3 and -3
What is the symmetry for
y=x2-6x+5?
x=3
true or false:The domain can be limited by a real-world situation.
true (ex; time or distance cannot be negative)
solve:x2+5+6=0 by factoring
x=-2,-3
identify the maximum or minimum value of
y=x2+4x-1
maximum value =3 at x=2
if a quadratic opens downward wand has a vertex at (1,4), what is the range?
y is less than or equal to 4
what type of roots exist if the discriminant (b2-4ac) equals 0?
one real repeated root
Describe how changing the value of "a" in
y=ax2 +bx+c affects the graph's shape.
it makes the parabola narrower (|a|>1) or wider (|a|<1).
Find the range of y=x2+2x+3
y is greater than or equal to 2
A ball is thrown upward and its height is given by h=-16t2+64t+80 how long until it hits the ground?
t=5 seconds