8.7.5: Quiz 6

MATH 100 - Quiz 6

Name: _________________________________

Show ALL of your work. Read all instructions. Don't forget units. Round answers when appropriate.

MATH 100 - Quiz 6

Name: _________________________________

 

Show ALL of your work. Read all instructions. Don't forget units. Round answers when appropriate.

 

List of formulas:

Standard form:

\(y=ax^2+bx+c\)

Factored form:

 

\(y=a(x-p)(x-q)\)

 

Vertex form:

\(y=a(x-h)^2+k\)

1. (4 points) For each function, identify its form and give its important values.

Examples:

• Standard form: identify \(a\), \(b\), and \(c\)

• Factored form: identify \(a\), \(p\), and \(q\)

• Vertex form: identify \(a\), \(h\), and \(k\)

(a) (2 points)

\(y=6x-9x^2\)

(b) (2 points)

\(g(z)=-3(z+6)^2-90\)

2. (6 points) Give a possible formula for the quadratic function graphed below. Show all of your work!

 

Information shown on the graph:

• Vertex: \((4,-3)\)

• Point: \((1,7)\)

• Use the graph provided by your instructor.

3. (1 point) BONUS

Find the zeroes of

\(y=100(x-345)^2+685\)

 

 

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