Quadratics (Standard & Vertex Form)

Vertex Form

100

Find the vertex. 

y=(x-2)-2

(2,-2)

200

Find the vertex. 

y=3/2(x+1)-42

(-1,-42)

300

Find the vertex. 

y=4(x+1)-3

(-1,-3)

400

Provide the vertex and direction of the parabola

x=2(y-3)-4

vertex: (3,-4)

direction: + right 

500

Provide the vertex and direction of the parabola

x=-1/2(x-9)-2/3

vertex: (9,-2/3)

Direction: left

A (rate)

100

a>1 means that the parabola is ...

skinner 

200

a=0 then my parabola is ...

not a parabola; this is a line 

300

a<1 then my parabola becomes ...

wider/expands

400

When you have x= ... what directions can my parabola be? 

left or right

500

Which one is skinnier?

y=1/2(x-2)^2+8

y=-2(x-2)^2+19

When a=-2, it is skinnier because 2>1. The positive or negative sign tells us the direction only.

Standard Form

100

Find a, b, and c

f(x)=2x²+3x-2.3

a=2  b=3 c=2.3

200

If x=0 what is my y=?

f(x)=3x²+7x-6

y=-6

300

What is my axis of symmetry (AOS)? 

f(x)=x²-2x+9

AOS: x=2/2 or x=1

400

What is the y-intercept for this parabola?

f(x)=9x²+3x-27

y-int: (0,-27)

500

What is my vertex given: 

f(x)=x²+3x

Vertex (-3/2,-9/4)

F(-b/2a)

100

What is another way of saying f(x)?

f(x)=y

200

What is my y value if x=0

f(x)=290x²-29391x-2

y=-2

300

What is my f(x), when x=1

Given f(x)=x²+2x-2

f(x)=1

400

-b/(2a)=8

Find f(x)

f(x)=1/2(x)^2+3x-1

y=55

500

-b/(2a)=1/2, 

Find the y value of the vertex

Given the function, f(x)=x²-x-2

y=-9/4

-b/2a

100

What coefficient do I not use to find the x value of the vertex? 

a & b

200

-b/2a represents what in my vertex? 

the x value 

300

If -b/2a=0, then find the vertex for y=x²+8

Vertex: (0,8) 

400

Find the x value of the vertex:

f(x)=4x²-3x+2

y=3/8

500

My b=1 and my a=9, is my parabola skinny or wide and what is my x value of the vertex?

-b/(2a)  

a>1 so it is skinny 

x value is -1/18