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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 2

X Intercepts : (2 + 3, 0), (- 2 + 3, 0), Y Intercepts : (0, - 7)

Vertex : Maximum (3, 2)

Inverse : - x + 2 + 3, - - x + 2 + 3

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 2]

Solution steps

Domain of

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

Range of

- (x - 3)^{2} + 2 : f (x) \leq 2

Axis interception points of

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

X Intercepts

: (2 + 3, 0), (- 2 + 3, 0),

Y Intercepts

: (0, - 7)

Vertex of

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

Maximum

(3, 2)

Inverse of

- (x - 3)^{2} + 2 : - x + 2 + 3, - - x + 2 + 3

Popular Examples

f (x) = \frac{x - 3}{3}

f (x) = 4 x^{2} - 3 x - 1

f(x)=(x-3)/(x^2+x-12)

f (x) = \frac{x - 3}{x ^{2} + x - 12}

f(x)=(x^2-25)/(2x^2-17x+35)

f (x) = \frac{x ^{2} - 25}{2 x ^{2} - 17 x + 35}

f(x)=sqrt((x(3+x)-4)/(x^2-1))

f (x) = \frac{x ( 3 + x ) - 4}{x ^{2} - 1}

Frequently Asked Questions (FAQ)

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