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Popular >

y=3(x+5)^2-4

Solution

y = 3 (x + 5)^{2} - 4

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 4

X Intercepts : (\frac{2}{3} - 5, 0), (- \frac{2}{3} - 5, 0), Y Intercepts : (0, 71)

Vertex : Minimum (- 5, - 4)

Inverse : \frac{x + 4}{3} - 5, - \frac{x + 4}{3} - 5

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, \infty)

Solution steps

Domain of

3 (x + 5)^{2} - 4 : - \infty < x < \infty

Range of

3 (x + 5)^{2} - 4 : f (x) \geq - 4

Axis interception points of

3 (x + 5)^{2} - 4 :

X Intercepts

: (\frac{2}{3} - 5, 0), (- \frac{2}{3} - 5, 0),

Y Intercepts

: (0, 71)

Vertex of

3 (x + 5)^{2} - 4 :

Minimum

(- 5, - 4)

Inverse of

3 (x + 5)^{2} - 4 : \frac{x + 4}{3} - 5, - \frac{x + 4}{3} - 5

Popular Examples

f(m)=4m^2-3m^6+5m^4

f (m) = 4 m^{2} - 3 m^{6} + 5 m^{4}

f (x) = (x - 1)^{2} + 1

y = sin (e^{x})

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

f (x) = cos (x^{4})

Frequently Asked Questions (FAQ)

What is the y=3(x+5)^2-4 ?
The y=3(x+5)^2-4 is