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Popular >

y=-3(x+1)^2+5

Solution

y = - 3 (x + 1)^{2} + 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 5

X Intercepts : (\frac{5}{3} - 1, 0), (- \frac{5}{3} - 1, 0), Y Intercepts : (0, 2)

Vertex : Maximum (- 1, 5)

Inverse : - \frac{x - 5}{3} - 1, - - \frac{x - 5}{3} - 1

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 5]

Solution steps

Domain of

- 3 (x + 1)^{2} + 5 : - \infty < x < \infty

Range of

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

Axis interception points of

- 3 (x + 1)^{2} + 5 :

X Intercepts

: (\frac{5}{3} - 1, 0), (- \frac{5}{3} - 1, 0),

Y Intercepts

: (0, 2)

Vertex of

- 3 (x + 1)^{2} + 5 :

Maximum

(- 1, 5)

Inverse of

- 3 (x + 1)^{2} + 5 : - \frac{x - 5}{3} - 1, - - \frac{x - 5}{3} - 1

Popular Examples

2 x^{2} - 8 x - y + 5 = 0

x^{2} - 8 y = x

Y > - X^{2} - 3 X + 1

y^{2} - 6 y + 6 x - 1 = 0

y^2-6y+20x+109=0

y^{2} - 6 y + 20 x + 109 = 0

Frequently Asked Questions (FAQ)

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