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Popular Functions >

Find the Standard Form of the Parabola y=6x^2+36x+54

Solution

y = 6 x^{2} + 36 x + 54

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (- 3, 0), Y Intercepts : (0, 54)

Vertex : Minimum (- 3, 0)

Inverse : \frac{- 18 + 6 x}{6}, - \frac{6 x + 18}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

6 x^{2} + 36 x + 54 : - \infty < x < \infty

Range of

6 x^{2} + 36 x + 54 : f (x) \geq 0

Axis interception points of

6 x^{2} + 36 x + 54 :

X Intercepts

: (- 3, 0),

Y Intercepts

: (0, 54)

Vertex of

6 x^{2} + 36 x + 54 :

Minimum

(- 3, 0)

Inverse of

6 x^{2} + 36 x + 54 : \frac{- 18 + 6 x}{6}, - \frac{6 x + 18}{6}

Graph

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Frequently Asked Questions (FAQ)

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