What is the axis y=0.5x^2-3x+5 ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

axis y=0.5x^2-3x+5

axis

y = 0.5 x^{2} - 3 x + 5

x = 3

Solution steps

y = 0.5 x^{2} - 3 x + 5

Rewrite

y = 0.5 x^{2} - 3 x + 5

in the standard form

4 \cdot 0.5 (y - 0.5) = (x - 3)^{2}

Therefore parabola properties are:

(h, k) = (3, 0.5), p = 0.5

Parabola is of the form

4 p (y - k) = (x - h)^{2}

and is symmetric around the

y

-axis

Axis of symmetry is a line parallel to the

y

-axis which intersects the vertex:

x = 3

y = 4 x^{2} - 7 x + 7

y = 5 x^{2} - 3 x + 3

y = 2 x^{2} + 3 x - 1

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

y = (- x)^{2}