Forms of Quadratics
Intercepts!
Vertex
All about Equations
Random things you need to know
100
What is the STANDARD form of a quadratic?

ax2+bx+c

100

What are two other names for x-intercepts?

Roots and zeros

100

From the vertex form

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

which letters give you the vertex? 

(h,k)

100

Change y=(x-1)(x+3) to standard form

y=x^2+2x-3

100

What does a positive "a" value tell you about the quadratic? 

Opens up or there is a minimum 

200

What is the FACTORED form of a quadratic? 

(m+x)(n+x)

200

What are the roots of this quadratic? 

(0,0) (6,0)

200

What is the vertex 

(-4,-1)

200

Convert the following quadratic to standard form

y=(x-2)^2

y=x^2-4x+4

200

What is the y-intercept of 

y=x^2-8x+7

(0,7)

300

What is VERTEX form of a quadratic?

a(x-h)2+k

300

What are the roots of the following quadratic: 

f(x)=(x+10)(x-2)

(-10,0) (2,0)

300

From standard form, how do you find the x-value of the vertex?

x=-b/(2a)

300

Change the following quadratic to standard form 

f(x)=-(x+3)^2+1 

f(x)=-x^2-6x-8

300

Would the a value be positive or negative for this graph? 

negative

400

What does the STANDARD form of a quadratic tell you without doing ANY work? 

The y-intercept

400

What are the zeros of 

y=-x^2+2x

(0,0)(2,0)

400

What is the vertex of 

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

(-2,-2)

400

Write the equation of the quadratic in VERTEX form from the graph

y=-2(x+4)^2+2

400

What is the axis of symmetry? 

x=-3

500

What does the FACTORED form of a quadratic tell you without doing ANY work?

The roots

500

What are the roots of 

f(x)=-(x+3)^2+4

(-1,0) (-5,0)

500

What is the vertex of 

y=-2x^2+8x-5

(2,3)

500

Write the equation the quadratic in FACTORED form from the graph 

y=1/2(x-6)(x-2)

500

What is the axis of symmetry  

y=x^2+6x+11

x=-3