h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. h(x)=1/2(x−1)^2−2

h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h.
${\displaystyle h\left(x\right)=-\sqrt{x+4}}$

Given:
n=3;
4 and 2i are zeros;
f(-1)=75
Find an nth-degree polynomial function with real coefficients

${\displaystyle x^2+8x+15}$

A simplified form of $(\sqrt{3^{2}x})+2+3^{-2x}$ that does not involve radicals or fractional exponents can be obtained after factoring the radicand. Find this simplification.

A wheel with a 30-cm radius is rotating at a rate of 3 radians/sec. What is the linear speed of a point on its rim, in meters per minute?

Describe the transformations that were applied to ${\displaystyle y=x^2}$ to obtain each of the following functions. ${\displaystyle a)y=-2{(x-1)}^2+23b)y={\left(\frac{12}{13}(x+9)\right)}^2-14c)y=x^2-8x+16d)y=(x+\frac{3}{7})(x+\frac{3}{7})e)y=40{(-7(x-10))}^2+9}$

Show that f is inverse of g and vice-versa, if
f(x)=x-6 and g(x)=x+6