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Popular >

range of-x^2+4x+2

Solution

range

- x^{2} + 4 x + 2

Solution

f (x) \leq 6

+1

Interval Notation

(- \infty, 6]

Solution steps

Vertex of

- x^{2} + 4 x + 2 :

Maximum

(2, 6)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = - 1,

Vertex

(x_{v}, y_{v}) = (2, 6)

f (x) \leq 6

Popular Examples

perpendicular y=-4/3 x-3,(-4,1)perpendicular

y = - \frac{4}{3} x - 3, (- 4, 1)

(1) (1)

domain of f(x)= x/(1+2x)domain

f (x) = \frac{x}{1 + 2 x}

inverse of 9+sqrt(1+x)inverse

9 + 1 + x

parity tan(e^{3t})+e^{tan(3t)}parity

tan (e^{3 t}) + e^{t a n (3 t)}

Frequently Asked Questions (FAQ)

What is the range of-x^2+4x+2 ?
The range of-x^2+4x+2 is f(x)<= 6