# math

Express the function f(x) = −[ 1/3]x^2 + 2x + 3 in the form f(x) = a(x + p)^2 + q by completing the square:
f(x) = −[ 1/3]x^2 + 2x + 3

1. 👍
2. 👎
3. 👁
1. f(x) = −[1/3]x^2 + 2x + 3
= -(1/3)(x^2 -6x -9)
= -(1/3)(x^2 -6x +9 -18)
= -(1/3)(x-3)^2 + 6

1. 👍
2. 👎

## Similar Questions

1. ### Math

Express the function in the form f o g. (Use non-identity functions for f and g.) G(x)= cube root of (x/(9+x)) {f(x),g(x)}=?

2. ### Math

Express the function in the form f ∘ g ∘ h. (Use non-identity functions for f, g, and h.) H(x) = 9 - 5^x^2 {f(x), g(x), h(x)} =

3. ### math

which form of a quadratic funtion is easiest to use to find the maximum or minimum value of the function? satandard form factored form vertex form any form ***********

4. ### Math

An aquarium of height 1.5 feet is to have a volume of 12 ft3. Let x denote the length of the base and y the width. a) express y as a function of x b) Express the total number S of square feet of glass needed as a function of x.

1. ### pre-calc

a semicircle of radius r=3x is inscribed in a rectangle so that the diameter of the semicircle is the length of the rectangle 1. express the area A if the rectangke as a function 2 express the perimeter P of the rectamgle as a

2. ### Urgent math

A quadratic function is given. f(x) = x2 − 8x + 8 (a) Express the quadratic function in standard form.

4. ### Calculus

Express the function in the form f ∘ g. (Use non-identity functions for f and g.) u(t) = tan(t)/ 4 + tan(t)

1. ### Pre-Cal

Express the function in the form f(x) = (x-k)q(x) + r for the given value of k. f(x) = 15x^4 + 10x^3 - 6x^2 + 14 Value of k = -2/3 I do not understand what I am suppose to do!

2. ### Calculus

From each corner of a square of tin, 12 cm on a side, small squares of side x are removed and the edges are turned up to form an open box. Express the volume V(cm3) as a function of x. Determine the range of x.

3. ### Calc

An airplane is flying at a speed of 350 mi/h at an altitude of one mile and passes directly over a radar station at time t=0. a) Express the horizontal distance d (in miles) that the plane has flown as a function of t. I really

4. ### Math

Express the volume of a sphere as a function of its radius. What is the domain of this function? Does this function have an inverse? If so what is it?