91Ó°ÊÓ

Solve. $$ t^{2}=144 $$

Composting. A rectangular compost container is to be formed in a corner of a fenced yard, with 8 ft of chicken wire completing the other two sides of the rectangle. If the chicken wire is \(3 \mathrm{ft}\) high, what dimensions of the base will maximize the container's volume?

(a) find the vertex and the axis of symmetry and (b) graph the function. $$ f(x)=x^{2}+8 x+20 $$

Solve. $$ 3 t^{2}-1=6 $$

Solve. $$ 25 x^{2}-20 x+4=0 $$

Solve. $$ x^{2}-10 x+25=64 $$

Write a quadratic equation having the given numbers as solutions. $$ 2.4,-0.4 $$

Let \(f(x)=(x-5)^{2} .\) Find \(x\) such that \(f(x)=16\).

Let \(f(t)=(t+6)^{2} .\) Find \(t\) such that \(f(t)=15\).

For each of the following, graph the function, label the vertex, and draw the axis of symmetry. $$ f(x)=2(x+7)^{2} $$