91Ó°ÊÓ

Perform the indicated operation and express the result as a simplified complex number. \((-2+4 i)(8)\)

Perform the indicated operation and express the result as a simplified complex number. \(-\sqrt{-4}-4 \sqrt{-25}\)

How can the vertex of a parabola be used in solving real world problems?

Use the vertex \((h, k)\) and a point on the graph \((x, y)\) to find the general form of the equation of the quadratic function. \((h, k)=(2,3),(x, y)=(5,12)\)

Write the equation of the quadratic function that contains the given point and has the same shape as the given function. Contains \((2,3)\) and has the shape of \(f(x)=3 x^{2} .\) Vertex is on the \(y\) -axis.

Among all of the pairs of numbers whose sum is 6, find the pair with the largest product. What is the product?

In general, explain the end behavior of a power function with odd degree if the leading coefficient is positive.

For the following exercises, find the degree and leading coefficient for the given polynomial. $$-2 x^{2}-3 x^{5}+x-6$$

For the following exercises, use the written statements to construct a polynomial function that represents the required information. A rectangle is twice as long as it is wide. Squares of side 2 feet are cut out from each corner. Then the sides are folded up to make an open box. Express the volume of the box as a function of the width \((x)\).

What is the difference between an \(x\) - intercept and a zero of a polynomial function \(f ?\)