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Popular >

f(x)=a(x+1)^2

Solution

f (x) = a (x + 1)^{2}

Solution

Domain : - \infty < x < \infty

Range : (f (x) \geq 0 and a > 0) or (f (x) \leq 0 and a < 0)

X Intercepts : (- 1, 0), Y Intercepts : (0, a)

Vertex : {a > 0 : Minimum (- 1, 0), a < 0 : Maximum (- 1, 0)}

Inverse : \frac{x}{a} - 1, - \frac{x}{a} - 1

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (f (x) \in [0, \infty) \cap a \in (0, \infty)) \cup (f (x) \in (- \infty, 0] \cap a \in (- \infty, 0))

Solution steps

Domain of

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

Range of

a (x + 1)^{2} : (f (x) \geq 0 and a > 0) or (f (x) \leq 0 and a < 0)

Axis interception points of

a (x + 1)^{2} :

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, a)

Vertex of

a (x + 1)^{2} : {a > 0 : Minimum (- 1, 0), a < 0 : Maximum (- 1, 0)}

Inverse of

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

Popular Examples

domain of f(x)=x-2+(x^2)/(sqrt(x^2-9))domain

f (x) = x - 2 + \frac{x ^{2}}{x ^{2} - 9}

y = \frac{1}{2} x^{2} + 2

f (x) = 7 - ∣ x - 5 ∣

g (x) = ln (3 - x)

f(x)=(4x^2-4x-3)/(x^2+2x-15)

f (x) = \frac{4 x ^{2} - 4 x - 3}{x ^{2} + 2 x - 15}

Frequently Asked Questions (FAQ)

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