Quadratics/Systems Review

Vertex Form

100

What is the vertex of f(x)=(x+1)²+3

(-1,3)

200

What is the vertex of g(x)=2(x-3)²-6

(3,-6)

300

What is the vertex of f(x)=(x+6)²

(-6,0)

400

What is the vertex of f(x)=x²

(0,0)

500

Write a vertex from equation of a parabola with verted (2,1) and a=-1

f(x)=-(x-2)²+1

Standard Form

100

The x value of the vertex is 2, what is the y value of the equation 

f(x)=x²-4x+3

-1

200

What is the x value of the vertex of the equation: 

f(x)=x²+6x-2

-3

300

What is the x value of the vertex of:

f(x)=2x²-7x+3

7/4

400

What is the vertex of the equation:

f(x)=x²+8x+12

(-4,-4)

500

What is the vertex of 

f(x)=2x²+4x-5

(-1,-7)

Solving Quadratics

100

Solve: f(x)=x²-5x-14

x=7,-2

200

Solve: f(x)=2x²+2x-12

x=2,-3

300

Solve: f(x)=x²-4x+4

x=2

400

Solve: g(x)=2x²+3x+10

No Solution

500

Solve: 4x²+8x+7=7

x=-1/2 and -3/2

Solving Systems

100

Solve the system: f(x)=4x+3 and g(x)=-x-2

(-1,-1)

200

Solve: f(x)=2x-3 and g(x)=-3x+2

(1,-1)

300

Solve the following system: 

f(x)=x²+2x+7 and g(x)=6x+3

(2,15)

400

Give me ONE of the solutions to the system:

f(x)=x²-2x-6 and g(x)=y=4x+10

(-2,2) or (8,42)

500

Solve the system: g(x)=x²+4 and h(x)=x+1

No Solution

Misc.

100

Which of the following is in vertex form:

f(x)=2(x+3)²-2 or g(x)=3x²+6x+10

f(x)

200

What equation has the vertex (-2,3)

f(x)=3(x+2)²+3 or g(x)=(x-2)²-3

f(x)

300

Write an equation in vertex form with verted (1,1)

h(x)=a(x-1)²+1

400

What is the most solutions a quadratic equation can have?

2

500

How far up or down do you move to plot the points after the vertex for the equation g(x)=-3x²+6x+10

down 3