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Popular >

f(x)=x^2+12x+27

Solution

f (x) = x^{2} + 12 x + 27

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 9

X Intercepts : (- 3, 0), (- 9, 0), Y Intercepts : (0, 27)

Vertex : Minimum (- 6, - 9)

Inverse : - 6 + x + 9, - x + 9 - 6

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 9, \infty)

Solution steps

Domain of

x^{2} + 12 x + 27 : - \infty < x < \infty

Range of

x^{2} + 12 x + 27 : f (x) \geq - 9

Axis interception points of

x^{2} + 12 x + 27 :

X Intercepts

: (- 3, 0), (- 9, 0),

Y Intercepts

: (0, 27)

Vertex of

x^{2} + 12 x + 27 :

Minimum

(- 6, - 9)

Inverse of

x^{2} + 12 x + 27 : - 6 + x + 9, - x + 9 - 6

Popular Examples

5y^2-35x-40x-25=0

5 y^{2} - 35 x - 40 x - 25 = 0

y^2+12y-5x+16=0

y^{2} + 12 y - 5 x + 16 = 0

(x-5)^{(2)}=-8(y-3)

(x - 5)^{(2)} = - 8 (y - 3)

3 x^{2} - 8 y = 0

2 y - x^{2} + 2 = 0

Frequently Asked Questions (FAQ)

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