Quiz Review

Parts of Parabola

100

What direction does the graph face?

f(x) = -x²-9x+8

The graph faces down

200

What are the other names for solutions to a graph? You must name 2/3.

x-intercepts, zeros, roots

300

What is the axis of symmetry?

f(x) = -x²-10x+25

x=-5

400

How many solutions does this quadratic have?

f(x) = x²+9

No real solutions

500

Solve by graphing:

f(x)=x²+2x-3

x=-3

x=1

Solve by Factoring

100

3x²-27x=0

x=0

x=9

200

16x²-81=0

x=-9/4

x=9/4

300

2x²-16x+30=0

x=3

x=5

400

x²+11x+29=x+4

x=-5

500

2x²=x+21

x=-3

x=7/2

Solve by Square Roots

100

x²-225=0

x=+/-15

200

9x²=81

x=+/-3

300

2x²-9=55

x=+/- 4(sqrt(2))

400

4x²-68=101

x = +/- (13/2)

500

1/3x²+13=53

x=+/- 2(sqrt(30))

Converting

100

Convert from standard to factored form

f(x)=x²+8x+12

f(x)=(x+6)(x+2)

200

Convert from factored form to standard form:

f(x)=-(7x-9)(3x-4)

f(x)=-21x²+55x-36

300

Write the vertex form equation of the quadratic with a vertex of (-4,2) and goes through (-2,1)

f(x)=-1/4(x+4)²+2

400

Convert from vertex form to factored form:

f(x)=-(x-10)²+36

f(x)=-(x-16)(x-4)

500

Convert from factored form to vertex form:

f(x)=-1/5x(x-6)

f(x)=-1/5(x-3)²+9/5