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Popular Functions >

y=3x^2-12x+2

Solution

y = 3 x^{2} - 12 x + 2

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 10

X Intercepts : (\frac{6 + 30}{3}, 0), (\frac{6 - 30}{3}, 0), Y Intercepts : (0, 2)

Vertex : Minimum (2, - 10)

Inverse : \frac{12 + 12 x + 120}{6}, \frac{12 - 12 x + 120}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 10, \infty)

Solution steps

Domain of

3 x^{2} - 12 x + 2 : - \infty < x < \infty

Range of

3 x^{2} - 12 x + 2 : f (x) \geq - 10

Axis interception points of

3 x^{2} - 12 x + 2 :

X Intercepts

: (\frac{6 + 30}{3}, 0), (\frac{6 - 30}{3}, 0),

Y Intercepts

: (0, 2)

Vertex of

3 x^{2} - 12 x + 2 :

Minimum

(2, - 10)

Inverse of

3 x^{2} - 12 x + 2 : \frac{12 + 12 x + 120}{6}, \frac{12 - 12 x + 120}{6}

Graph

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Frequently Asked Questions (FAQ)

What is the y=3x^2-12x+2 ?
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