find the equation of a quadratic fuction. satistying the given condition p(x)=a(x-h) square +k. express in the form ax square+bx+c.?

y = a(x - h)² + k

Is the vertex form of a parabola

Where (h, k) is the (x, y) of the vertex

and a determines the width.

Plug in the (-1, -3) vertex yields

y = a(x + 1)² - 3

Plug in the given point to find a

141 = a(5 + 1)² - 3

141 = a(6)² - 3

141 = 36a - 3

144 = 36a

a = 144/36 = 4

Plugging in 23/6 for a into

y = a(x + 1)² - 3

y = 4(x + 1)² - 3

Expand

y = 4(x² + 2x + 1) - 3

Distribute

y = 4x² + 8x + 4 - 3

y = 4x² + 8x + 1

p(x) = 4x² + 8x + 1

m09042014