Vocab
What is the definition of a vertex?
The point of intersection of lines or the point opposite the base of a figure.
Factor. x2 − 7x − 18
(x − 9)(x + 2)
Solve. (x−4)2−9=0
x=7 and x=1
Solve the equation by completing the square.
a2+14a−51=0
{3,-17}
If I'm trying to find the zeros of a function, I'm looking for...
x-intercepts
What is the definition of a parabola?
A parabola is a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve.
Factor. p2−5p−14
(p+2)(p−7)
Solve. x2+14x+45=0
x=−5 and x=−9
Solve the equation by completing the square.
x2+14x−15=0
{1,-15}
The y-value wher teh parabola intersectes the y-axis.
y-intercept
What is the axis of symmetry?
A line that divides a figure in half so that each half is the mirror image of the other.
Factor. 7k2 + 9k
k(7k + 9)
Solve. 4x2−100=0
x=5 and x=−5
Solve the equation by completing the square.
x2−12x+11=0
{11,1}
Solve using the quadratic formula.
b2−4b+4=0
{2}
How is the quadratic equation written?
ax²+bx+c=0
Factor. 9r2−5r−10
Not factorable.
Solve. 6x2−48x−54=0
x=9 and x=−1
Solve the equation by completing the square.
3x2=−4+8x
{2,2/3}
Solve by completing the square.
x2+6x+8=0
{−2, −4}
If I'm trying to find the zeros of a function, I'm looking for...
x-intercepts
Factor. 28n4+ 16n3 − 80n2
4n2(7n − 10)(n + 2)
Solve. x3−5x2−4x+20=0
x=2, x=−2, and x=5
Solve the equation by completing the square.
8x2+16x=42
{3/2,-7/2}
Factor. 7x2−32x−60
(7x+10)(x−6)