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Popular >

f(x)=-(x-3)^2+7

Solution

f (x) = - (x - 3)^{2} + 7

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 7

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

Vertex : Maximum (3, 7)

Inverse : - x + 7 + 3, - - x + 7 + 3

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 7]

Solution steps

Domain of

- (x - 3)^{2} + 7 : - \infty < x < \infty

Range of

- (x - 3)^{2} + 7 : f (x) \leq 7

Axis interception points of

- (x - 3)^{2} + 7 :

X Intercepts

: (7 + 3, 0), (- 7 + 3, 0),

Y Intercepts

: (0, - 2)

Vertex of

- (x - 3)^{2} + 7 :

Maximum

(3, 7)

Inverse of

- (x - 3)^{2} + 7 : - x + 7 + 3, - - x + 7 + 3

Popular Examples

x^{2} = 8 (y - 3)

x = \frac{1}{2} a t^{2}

(x-3)^2=12(y-1)

(x - 3)^{2} = 12 (y - 1)

y^{2} + y + x - 20 = 0

x^2-18x+36y-207=0

x^{2} - 18 x + 36 y - 207 = 0

Frequently Asked Questions (FAQ)

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