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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Using the Distributive Property

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Exercise 47 Page 40

Practice makes perfect

a

Let's make a table of values for the height of the arch.

x	- 3x^2+12x	y=- 3x^2+12x
0	- 3( 0)^2+12( 0)	0
1	- 3( 1)^2+12( 1)	9
2	- 3( 2)^2+12( 2)	12
3	- 3( 3)^2+12( 3)	9
4	- 3( 4)^2+12( 4)	0

b

We will now plot the points found in Part A and connect them with a smooth curve.

c

Looking at the graph in Part B, the maximum y-value is 12. Since the y-axis represents the height of the doorway, it is 12 ft.

Subchapter links

Exercises p.39-42