Which equation is y=(x+3)^2+(x+4)^2 rewritten in vertex form?

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The given function is:

Expanding the squares:

Simplifying:

Factoring 2 from the first two terms:

The expression in parentheses must be completed to form the square of a binomial:

Isolating the square of the binomial:

Operating and Factoring:

Rearranging:

Comparing with the vertex form:

a=2, h=-7/2, k=1/2

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step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm