What is y-5= 1/3 (x+2)^2 ?

The solution to y-5= 1/3 (x+2)^2 is Parabola with (h,k)=(-2,5),p= 3/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

(h, k) = (- 2, 5), p = \frac{3}{4}

Solution steps

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

Rewrite

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

in the standard form:

4 \cdot \frac{3}{4} (y - 5) = (x - (- 2))^{2}

Therefore parabola properties are:

(h, k) = (- 2, 5), p = \frac{3}{4}

x = (y - 6)^{2}

x = y^{2} - 6 y + 11

y^{2} = 1 + x

y^{2} + 1 = 4 y + 2 x

y^{2} + 5 y + \frac{25}{4} = - 5 x + \frac{45}{2}

What is y-5= 1/3 (x+2)^2 ?
The solution to y-5= 1/3 (x+2)^2 is Parabola with (h,k)=(-2,5),p= 3/4