Vertex Form Jeopardy

Properties of Vertex Form

100

What is the vertex of this function f(x)=-2(x-3)²+1?

(3,1)

200

Does this function have a minimum or a maximum?

f(x)=-2(x-3)²+1

Maximum

300

How does the "h" value in vertex form change what the graph looks like?

It moves the graph either left or right from the origin.

400

What two (2) different things does the "a" value tell us about the graph of a function in vertex form?

1) Will the graph open up or down

2) Will the graph get skinnier or wider (A big number will make it skinnier, a fraction will make it wider)

500

Write the equation of a quadratic function with a vertex of (-3,-1) and a second point of (-2,-2)

f(x)=-(x+3)²-1

Solving for x

100

Solve for x, 7x²-6=57

x= +/- 3

200

Solve for x, 3x²+7=301

x= +/- 7√2

300

Solve for x, (x-5)²=36

x=-1 and 11

400

Solve for x, 1/4(x+1)²-11=14

x= 9 and -11

500

Solve for x, 10(x-5)²=440

x= +/- 2√11 +5

Simplifying Square Roots

100

What is √64?

8

200

What is √27?

3√3

300

What is √48?

4√3?

400

What is √5*√5?

5

500

What is √36/4 ?

3

Multiplying Binomials

100

(x+6)(x+7)

x²-13x-42

200

(x+2)(x-5)

x²-3x-10

300

(x-3)(x+3)

x²-9

400

(x-5)²

x²-10x+25

500

(2x+5)(2x-2)

4x²+6x-10

Misc. Vertex Form

100

What is the domain of any (continuous) quadratic function?

(-∞,∞)

200

What is the range of this function, f(x)=(x+2)²-1?

[-1,∞)

300

What is the range of this function, f(x)=x²-4?

[-4,∞)

400

Given the function, f(x)=-2(x-3)²+1, find f(5).

f(5)=-7

500

Solve: -49=-2(x-3)²+1

x=8 and -2