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In need of Algebra 2 help! Thank you!

In need of Algebra 2 help! Thank you!-example-1
User Jmenezes
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1 Answer

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Answer: x² + 2y - 20x = 0

Explanation:

Vertex form of the equation: y = a(x - h)² + k where (h, k) is the vertex and "a" is the vertical stretch.

Firework #1 has a vertex of (10, 50) and another coordinate of (0,0).

0 = a(0 - 10)² + 50

0 = a(100) + 50

-50 = 100a


-(1)/(2) = a

Equation: y =
-(1)/(2)(x - 10)² + 50

General form is when

  • everything is on one side and zero on the other
  • all expressions are expanded
  • x is a positive integer

(-2)y = (-2)
-(1)/(2)(x - 10)² + (-2)50

-2y = (x - 10)² - 100

-2y = (x² - 20x + 100) - 100

0 = x² + 2y - 20x

***************************************************

Answer: y =
-(1)/(2)(x - 10)² + 72

Explanation:

Vertex form of the equation: y = a(x - h)² + k where (h, k) is the vertex and "a" is the vertical stretch.

Firework #2 has a vertex of (10, 72) and another coordinate of (22,0).

0 = a(22 - 10)² + 72

0 = a(12)² + 72

0 = 144a + 72

-72 = 144a


-(1)/(2) = a

Equation: y =
-(1)/(2)(x - 10)² + 72

******************************************************

Answer: Domain: 0 ≤ x ≤ 22 [0, 22]

Range: 0 ≤ y ≤ 50 [0, 50]

Explanation:

Domain represents the values of x. The x-values for Fireworks #1 graph are inclusively between 0 and 22.

Range represents the values of y. The y-values for Fireworks #1 graph are inclusively between 0 and 50.

User Kmore
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