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Popular >

y=4(x-2)^2-6

Solution

y = 4 (x - 2)^{2} - 6

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 6

X Intercepts : (\frac{3}{2} + 2, 0), (- \frac{3}{2} + 2, 0), Y Intercepts : (0, 10)

Vertex : Minimum (2, - 6)

Inverse : \frac{x + 6}{2} + 2, - \frac{x + 6}{2} + 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 6, \infty)

Solution steps

Domain of

4 (x - 2)^{2} - 6 : - \infty < x < \infty

Range of

4 (x - 2)^{2} - 6 : f (x) \geq - 6

Axis interception points of

4 (x - 2)^{2} - 6 :

X Intercepts

: (\frac{3}{2} + 2, 0), (- \frac{3}{2} + 2, 0),

Y Intercepts

: (0, 10)

Vertex of

4 (x - 2)^{2} - 6 :

Minimum

(2, - 6)

Inverse of

4 (x - 2)^{2} - 6 : \frac{x + 6}{2} + 2, - \frac{x + 6}{2} + 2

Popular Examples

f(x)=x^5-2x^4+x^3+7x^2-12x+10

f (x) = x^{5} - 2 x^{4} + x^{3} + 7 x^{2} - 12 x + 10

derivative of cos(3x-sin(3x))

\frac{d}{d x} (cos (3 x) - sin (3 x))

f(x)=(x^5-x^3+3)^4

f (x) = (x^{5} - x^{3} + 3)^{4}

f(x)=sqrt(x^2+10)

f (x) = x^{2} + 10

f (p) = 3 p^{2}

Frequently Asked Questions (FAQ)

What is the y=4(x-2)^2-6 ?
The y=4(x-2)^2-6 is