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Popular >

f(x)=2(x+6)^2+5

Solution

f (x) = 2 (x + 6)^{2} + 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 5

Y Intercepts : (0, 77)

Vertex : Minimum (- 6, 5)

Inverse : \frac{x - 5}{2} - 6, - \frac{x - 5}{2} - 6

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [5, \infty)

Solution steps

Domain of

2 (x + 6)^{2} + 5 : - \infty < x < \infty

Range of

2 (x + 6)^{2} + 5 : f (x) \geq 5

Axis interception points of

2 (x + 6)^{2} + 5 :

Y Intercepts

: (0, 77)

Vertex of

2 (x + 6)^{2} + 5 :

Minimum

(- 6, 5)

Inverse of

2 (x + 6)^{2} + 5 : \frac{x - 5}{2} - 6, - \frac{x - 5}{2} - 6

Popular Examples

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y = - 28 x^{2} + 43 x + 45

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f (x) = \frac{sin ( x )}{ln ( x )}

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y = 10 sin (5 x + \frac{3 π}{4})

y= 1/(x^2+2x+1)

y = \frac{1}{x ^{2} + 2 x + 1}

Frequently Asked Questions (FAQ)

What is the f(x)=2(x+6)^2+5 ?
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