Quadratics

Vocabulary

100

What is the vertex?

The turning point of a parabola. 

200

What is the domain?

the x-values (left to right)

300

What is the range? 

the y-values (bottom to top)

400

What is the equation of the Axis of symmetry of y= x²+4x+2? 

x=-2

500

What are the other names we can use when talking about zeros?

x-intercept

roots

solutions

Transformations & More

100

Write an example of vertical transformation of y= x²?

y=x²+ #

y=x²-#

200

What transformation happened to y=x² to have 

y=(x-4)²?

Right 4 

300

If a ball is thrown into the air and can be modeled by the function h(t)=-16t² + 24t + 8, where t represent the time in seconds, and h is the height in feet.   What is the initial height the ball was thrown from?  

8 feet

400

what transformation happened to y=x² to get y=(x+3)² + 6?

left 3 and up 6

500

what transformations happened to y=x² to get 

y=3(x-4)²-1? 

Stretch 3

Right 4

down 1

Factors, Solve by Factoring or Square Root Method

100

What are the factors with zeros at (9,0) and (3,0)?

 (x-9) (x-3)

200

What are the factors with zeros at (7,0) and (-2,0)? 

(x-7) (x+2)

300

Find all solutions:   x²  - 8 = 17

x = 5 and x = -5

400

Solve for all solutions x² +2x - 48 =0

x= -8 and x = 6

500

Solve for all solutions:  2(x+4)²-1=5

 x= -4 +/- root 3

Simplifying Radicals

100

squareroot(80)

4 root(5)

200

squareroot (178)

2 root(47)

300

squareroot(248)

4 root(2)

400

squareroot(198)

3 root(22)

500

squareroot (1440)

24 root(5)

Solving Quadratics

100

Using the Quadratic Formula

x²+5x-6

x=-6

x=1

200

Using the Quadratic Formula

3x²+5x-6

[-5+ root(97)]/6

[-5- root(97)]/6

300

f(x)= x(x+8)(5-5x)

x= 0

x= -8

x= 1

400

Complete the square

x²+4x+4=0

x=-2

500

Complete the square: 

x²+18x+40=0

x=-9 + root(41)

x=-9 - root(41)