What is f(x)=2x^2+3x-4.2(f(x)) ?

The solution to f(x)=2x^2+3x-4.2(f(x)) is Parabola with (h,k)=(-0.75,-0.21634…),p=0.65

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=2x^2+3x-4.2(f(x))

f (x) = 2 x^{2} + 3 x - 4.2 (f (x))

(h, k) = (- 0.75, - 0.21634 \dots), p = 0.65

Solution steps

y = 2 x^{2} + 3 x - 4.2 y

Rewrite

y = 2 x^{2} + 3 x - 4.2 y

in the standard form

4 \cdot 0.65 (y - (- 0.21634 \dots)) = (x - (- 0.75))^{2}

Therefore parabola properties are:

(h, k) = (- 0.75, - 0.21634 \dots), p = 0.65

- (X + 5)^{2} = Y

(x + 3)^{2} = - 4 (y - 3)

- 6 x + 24 y^{2} = 0

x - y^{2} = - 0.5

x^{2} - 12 x + y + 36 = 0

What is f(x)=2x^2+3x-4.2(f(x)) ?
The solution to f(x)=2x^2+3x-4.2(f(x)) is Parabola with (h,k)=(-0.75,-0.21634…),p=0.65