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Popular >

y=-x^2+4x+1

Solution

y = - x^{2} + 4 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 5

X Intercepts : (2 - 5, 0), (2 + 5, 0), Y Intercepts : (0, 1)

Vertex : Maximum (2, 5)

Inverse : 2 - - x + 5, - x + 5 + 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 5]

Solution steps

Domain of

- x^{2} + 4 x + 1 : - \infty < x < \infty

Range of

- x^{2} + 4 x + 1 : f (x) \leq 5

Axis interception points of

- x^{2} + 4 x + 1 :

X Intercepts

: (2 - 5, 0), (2 + 5, 0),

Y Intercepts

: (0, 1)

Vertex of

- x^{2} + 4 x + 1 :

Maximum

(2, 5)

Inverse of

- x^{2} + 4 x + 1 : 2 - - x + 5, - x + 5 + 2

Popular Examples

shift f(x)=-3sin(2x+pi/2)shift

f (x) = - 3 sin (2 x + \frac{π}{2})

line (6,0),(0,10)line

(6, 0), (0, 10)

extreme f(x)= 2/(x^2+1)extreme points

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

inverse of f(x)=sqrt(5-x)+9 inverse

f (x) = 5 - x + 9

inflection (2x^2-5x+4)/(x+1)inflection points

\frac{2 x ^{2} - 5 x + 4}{x + 1}

Frequently Asked Questions (FAQ)

What is the y=-x^2+4x+1 ?
The y=-x^2+4x+1 is