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Popular Geometry >

y=21x^2+4x+9

Solution

y = 21 x^{2} + 4 x + 9

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{185}{21}

Y Intercepts : (0, 9)

Vertex : Minimum (- \frac{2}{21}, \frac{185}{21})

Inverse : \frac{- 2 + 21 x - 185}{21}, - \frac{21 x - 185 + 2}{21}

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Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{185}{21}, \infty)

Solution steps

Domain of

21 x^{2} + 4 x + 9 : - \infty < x < \infty

Range of

21 x^{2} + 4 x + 9 : f (x) \geq \frac{185}{21}

Axis interception points of

21 x^{2} + 4 x + 9 :

Y Intercepts

: (0, 9)

Vertex of

21 x^{2} + 4 x + 9 :

Minimum

(- \frac{2}{21}, \frac{185}{21})

Inverse of

21 x^{2} + 4 x + 9 : \frac{- 2 + 21 x - 185}{21}, - \frac{21 x - 185 + 2}{21}

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the y=21x^2+4x+9 ?
The y=21x^2+4x+9 is