Quadratics Vocabulary
What is the y-intercept?
The point where the parabola crosses the y-axis.
(x+4)+(x-7)
2x-3
How do you multiply polynomials?
Multiply each term and combine
Factor
x^2+3x+2
(x+1)(x+2)
Simplify
x^2*x^5
x^7
What is the x-intercept?
The point or points where the parabola crosses the x-axis.
Solve (3x2 + 2x + 5) + (6x + 7)?
3x2 -4x +12
Multiply (x + 6)(x + 12)?
x2 + 18x +72
Factor
x^2-6x+8
(x-4)(x-2)
Simplify
x^7/x^3
x^4
What is the vertex?
The highest or lowest point on the parabola.
(3x^3+5x-8)+
(4x^2-7x-11)
3x^3+4x^2-2x-19
Multiply (n + 3)2?
n2 + 6n +9
Factor
x^2+4x-32
(x+8)(x-4)
Rewrite using only positive exponents:
x^3*x^-8
1/x^5
What is the axis of symmetry?
An imaginary line that cuts the parabola in half. This imaginary line goes through the vertex.
Solve: (x + 6) - (3x - 5)?
-2x + 11
Multiply (3x - 7)(3x + 7)?
9x^2-49
What number completes this square:
x^2+10x+"_______"
25
Rewrite using only positive exponents:
x^3/x^11
1/x^8
What is another name for the solution(s) of a parabola?
X-intercepts or zeroes
Solve (5x2 - 24x +2) - (-10x2 + 5x +6)?
15x2 - 29x -4
Multiply
(2x+3)(x^2-5x+5)
2x^3-7x^2-5x+15
Complete this square:
x^2-16x "____________"
+64
Rewrite using only positive exponents:
((x^2)^-5*x^8)/x^3
1/x^5