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Popular >

y=2x^2+16x+29

Solution

y = 2 x^{2} + 16 x + 29

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 3

X Intercepts : (\frac{- 8 + 6}{2}, 0), (- \frac{8 + 6}{2}, 0), Y Intercepts : (0, 29)

Vertex : Minimum (- 4, - 3)

Inverse : \frac{- 16 + 8 x + 24}{4}, \frac{- 16 - 8 x + 24}{4}

+1

Solution steps

Domain of

2 x^{2} + 16 x + 29 : - \infty < x < \infty

Range of

2 x^{2} + 16 x + 29 : f (x) \geq - 3

Axis interception points of

2 x^{2} + 16 x + 29 :

X Intercepts

: (\frac{- 8 + 6}{2}, 0), (- \frac{8 + 6}{2}, 0),

Y Intercepts

: (0, 29)

Vertex of

2 x^{2} + 16 x + 29 :

Minimum

(- 4, - 3)

Inverse of

2 x^{2} + 16 x + 29 : \frac{- 16 + 8 x + 24}{4}, \frac{- 16 - 8 x + 24}{4}

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x + 2 = y^{2}

(y - 1)^{2} = 9 (x + 1)

4 x^{2} + 7 x = 7 y + 3

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