Pool 2×2
Pool 2x2
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What is the axis of symmetry of the graph of y = 2(x – 3)2 – 7?
What are the x– and y–intercepts of the graph of y = 2x2 – 8x – 10?
Megan’s backyard has a small pond that is 15 feet by 10 feet. Her mother wants her to add a wooden deck pathway around the pond, so that the total area of the pool and deck is 234 ft2. How wide does the pathway need to be to fulfill Megan’s mom’s request?
Part 1: Solve the following quadratic equation using one of the methods listed below.
Part 2: Using complete sentences, explain why you chose the method you used.
Equation:
0 = x2 + 6x + 3
Methods:
Completing the Square
Factoring
Quadratic Formula
Graphing
The axis of symmetry for the first equation would be x = 3.
To find the x intercepts of y = 2x^2 - 8x - 10, we need to set the left side to zero and solve:
y = 2x^2 - 8x - 10
0 = 2x^2 - 8x - 10
0 = (2x + 2)(x - 5)
2x + 2 = 0
2x = -2
x = -1
x - 5 = 0
x = 5
So, the x intercepts are -1 and 5
To find the y intercepts, we need to set x = 0 in the equation and solve for y:
y = 2x^2 - 8x - 10
y = 2(0)^2 - 8(0) - 10
y = -10
So, the y intercept is -10
I leave the last problem to you, since you need to explain why you chose the method that you did. Good luck!
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