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Popular >

y=2x^2-12x+13

Solution

y = 2 x^{2} - 12 x + 13

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 5

X Intercepts : (\frac{6 + 10}{2}, 0), (\frac{6 - 10}{2}, 0), Y Intercepts : (0, 13)

Vertex : Minimum (3, - 5)

Inverse : \frac{12 + 8 x + 40}{4}, \frac{12 - 8 x + 40}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, \infty)

Solution steps

Domain of

2 x^{2} - 12 x + 13 : - \infty < x < \infty

Range of

2 x^{2} - 12 x + 13 : f (x) \geq - 5

Axis interception points of

2 x^{2} - 12 x + 13 :

X Intercepts

: (\frac{6 + 10}{2}, 0), (\frac{6 - 10}{2}, 0),

Y Intercepts

: (0, 13)

Vertex of

2 x^{2} - 12 x + 13 :

Minimum

(3, - 5)

Inverse of

2 x^{2} - 12 x + 13 : \frac{12 + 8 x + 40}{4}, \frac{12 - 8 x + 40}{4}

Popular Examples

- 5 y = - x - x^{2}

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g, g = g (x)^{2} - x

(x - 2) = (y - 5)^{2}

y = 2 x^{2} - 12 x + 26

x^2-4x+m(x)+1=0

x^{2} - 4 x + m (x) + 1 = 0

Frequently Asked Questions (FAQ)

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