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Popular >

y=-0.5(x-2)(x-2)+3

Solution

y = - 0.5 (x - 2) (x - 2) + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3

X Intercepts : (4.44948 \dots, 0), (- 0.44948 \dots, 0), Y Intercepts : (0, 1)

Vertex : Maximum (2, 3)

Inverse : - \frac{x - 3}{0.5} + 2, - - \frac{x - 3}{0.5} + 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3]

Solution steps

Domain of

- 0.5 (x - 2) (x - 2) + 3 : - \infty < x < \infty

Range of

- 0.5 (x - 2) (x - 2) + 3 : f (x) \leq 3

Axis interception points of

- 0.5 (x - 2) (x - 2) + 3 :

X Intercepts

: (4.44948 \dots, 0), (- 0.44948 \dots, 0),

Y Intercepts

: (0, 1)

Vertex of

- 0.5 (x - 2) (x - 2) + 3 :

Maximum

(2, 3)

Inverse of

- 0.5 (x - 2) (x - 2) + 3 : - \frac{x - 3}{0.5} + 2, - - \frac{x - 3}{0.5} + 2

Popular Examples

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f(x)=x^2-14x+55

f (x) = x^{2} - 14 x + 55

Frequently Asked Questions (FAQ)

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