91Ó°ÊÓ

Use \(4.9 t^{2}+v_{0} t=s\). A pebble thrown downward from a \(200-\mathrm{m}\) cliff travels \(91.2 \mathrm{m}\) in 4 sec. What was the initial velocity of the object?

Write a quadratic equation with integer coefficients having the given numbers as solutions. $$-1,-3$$

Replace the blanks in each equation with constants to complete the square and form a true equation. $$ x^{2}+12 x+-=(x+-)^{2} $$

Archery. The Olympic flame tower at the 1992 Summer Olympics was lit at a height of about 27 m by a flaming arrow that was launched about 63 m from the base of the tower. If the arrow landed about 63 m beyond the tower, find a quadratic function that expresses the height h of the arrow as a function of the distance d that it traveled horizontally.

Write a quadratic equation with integer coefficients having the given numbers as solutions. $$3 \sqrt{2},-3 \sqrt{2}$$

Explain how the leading coefficient of a quadratic function can be used to determine whether a maximum or a minimum function value exists.

Find an equation in slope–intercept form of a line with the given characteristics. Perpendicular to \(2 x+y=3 ; y\) -intercept: \((0,-6)\)

Explain how any quadratic inequality can be solved by examining a parabola.

Suppose that you are solving a quadratic equation with no constant term \((c=0) .\) Would you use factoring or the quadratic formula to solve? Why?

Without graphing, find the vertex, the axis of symmetry, and the maximum value or the minimum value $$ f(x)=2 \pi(x-0.01)^{2}+\sqrt{15} $$