Unit 4C Review- Writing Quadratic Functions

Unit 4C Review- Writing Quadratic Functions

By Tara Hughey

Creating Quadratic Functions to find unknown dimensions

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Multiple Choice

• W: 5 in

• W: 10 in

• L: 15 in

• L: 12.5 in

Open Ended

What is the width of the frame?

Multiple Choice

Factor:

x² + 11x + 24

• (x + 6)(x + 4)

• (x + 12)(x + 2)

• (x - 8)(x - 3)

• (x + 8)(x + 3)

Quadratic Functions Tables​

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​A table represents a quadratic function when it has a constant second difference.

Multiple Choice

Identify the type of function from the table.

• linear

• quadratic

• exponential

• absolute value

Multiple Choice

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x
• Solve for x
• FOIL
• Set each binomial factor equal to zero

Writing a Quadratic Equation from a table

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Fill in the Blanks

What is the second difference for this table?

(the left column represents x-values, the right column represents y-values)

Multiple Choice

What equation represents this table?

(the left column represents x-values, the right column represents y-values)

• $$y=2x^2+3x+0$$

• $$y=2x^2$$

• $$y=2x^2+3x+1$$

• $$y=3x^2+2$$

Multiple Choice

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6

• x = 3 and x = -6

• x = -9 and x = 2

• x = 9 and x = -2

Remember if you are given coordinates, just create a table and write the function the same way as above.

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Multiple Choice

Given the points (0,5), (1,6), (2,9), (3,14), and (4,21), write the equation that represents the function.

• $$y=x^2+5$$  

• $$y=5x^2$$  

• $$y=5x^2+1$$  

• $$y=x+5$$  

Multiple Choice

12.  Solve by factoring 
(x - 2 )² = 49

• -5, 9
• ^{7, -7}
• 9, -5
• ^{9, -9}

Writing a Quadratic Equation from a sequences

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Remember, writing the equation from a sequence is the same as writing the equation from a table.

Multiple Choice

Write the explicit expressions to find the n^th term for the following quadratic sequence...

4, 7, 12, 19, 28...

• n² + 4

• 2n² + 4

• n² + 3

• n+3

Projectile Motion​

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​HINT: Use Desmos to graph the equations.

Multiple Choice

Approximately, what was the highest that the rocket flew?

• 6 feet

• 9 feet

• 3 feet

• It never flew.

Multiple Choice

An object in launched directly upward at 64 feet per second (ft/s). Its height is represented by the equation

s(t) = –16t² + 64t + 80

What was the height of the platform that the object was launched from?

• 2 ft

• 80 ft

• 144 ft

• 64 ft