Binomials
Trinomials
Graphing quadratics
Vocabulary and concepts
100

(n+2)(n+3)

n2 +3n + 2n +6

   n2 +5n +6

100

b2 + 8b + 7

(b+7) (b+1)

100

What are the x-intercepts of this parabola? 

(-1,0) and (4,0) 

100

What is the name of the shape a quadratic function takes when graphed? 

Parabola
200

(n+1)(n+2)

n2 +2n + 1n +2

   n2 +3n +2

200

b 2 + 16b + 64

(b+8) (b+8)

200

What is the equation for the line of symmetry of this parabola? 

x=2

200

What is the vertex?

The highest or lowest point of the parabola. The point where the parabola changes growth directions. 

300

(x+4)(x+3)

x2 +3x + 4x +12

   x2 +7x +12

300

m 2 + 10m + 21

(m+7) (m+3)

300

Does this parabola have a minimum or a maximum value? What are the x-intercepts? 

minimum

(-3,0) and (2,0)

300

What are the domain and range of a function? 


Domain: The span of the function in the x-axis.

Range: The span of the function in the y-axis. 

400

(r+2)(3r+9)

3r2 +9r + 6r +18

   3r2 +15r +18

400

k 2 + 7k + 12

(k+4) (k+3)

400

What is the domain and range of this parabola? 

Domain: (-∞, ∞) 

Range (-2, ∞)  

400

What is the name of this form of expressing a quadratic function? 

f(x) = Ax^2+Bx + C 


Standard form.

500

(2n+10)(n+3)

2n2 +6n + 10n +30

   2n2 +16n +30

500

a 2 + 11a + 18

(a+9) (a+2)

500

Identify the vertex, equation for the line of symmetry and x-intercepts in this parabola.  

Vertex (-2,1)

lines of symmetry equation: x=-2

x-intercepts: (-3,0) and (-1,0)

500

What do the "h" and "k" values of this equation indicate? 

f(x) = a(x-h)^2+k


h = Horizontal shift/movement in the x direction

k = Vertical shift/movement in the y direction 

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