Write An Equation For Each Parabola In Standard (Vertex) Form., 1. Y = 2x\Xb2 +12x+14, 2. 3x - Y = 8y +31,

Write an equation for each parabola in Standard (Vertex) Form.

1. y = 2x² +12x+14

2. 3x - y = 8y +31

 

Answer: 1. y= 2(x+3)²-4

2. y= (3x+31)/9

Step-by-step explanation:

1. y= 2x²+ 12x+ 14

y= 2x²+ 12x+ 18- 4

y= 2(x²+ 6x+ 9)- 4

y= 2(x+ 3)²- 4

2. (this isnt a parabola so Im just going to express in slope-intercept)

3x- y= 8y+ 31

3x= 9y+ 31

3x- 31= 9y

(3x- 31)/9= y


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