Does factoring, completing the square, or using the quadratic formula seem to you the easiest method for solving the given equation?

$x^2-14 x-736=0$

Let A=(-2,-6) and B=(-4,2). Find:

a. The length of $\overline{A B}$

b. The coordinates of the midpoint of $\overline{A B}$

In given exercise, sketch the parabola. Label the vertex, the axis of symmetry, and the - and y-intercepts and use the method of ealier ecamples.

a.$y=x^2-6 x$

b. $y=x^2-6 x+9$

c. $y=x^2-6 x+10$

Simplify.

(2+6 i)+(5-4 i)

Find the length of $\overline{C D}$ and the coordinates of the midpoint of $\overline{C D}$.

C(1,0), D(7,8)

Find the length and the coordinates of the midpoint of $\overline{C D}$.

C(0,0), D(8,6)

Solve by factoring.

$3 x^2-4 x-7=0$

Discuss whether the relationship described can be modeled by (1) a linear function, (2) a quadratic function, or (3) some other kind of function.

The cost of paving a square lot depends on the length of a side.

a. If f(x)=5 x-10, find f(3) and f(-3).

b. Find the zero of f.

c. Graph the function. Where does the graph of f intersect the vertical axis? the horizontal axis?

d. Where does the zero of f appear on the graph of f ?

Find the slope of the line joining the given points.

(0,0), (5,7)

For given quadratic function, tell whether its graph (a) opens upward or downward, and (b) intersects the x-axis in two, one, or no points.

$$f(x)=x^2-2 x+3$$

Simplify the given expression.

$$\sqrt{-4}+\sqrt{-16}+\sqrt{-1}$$

a. If $f(x)=\frac{3}{4} x-\frac{1}{2}$, find f(2) and f(-2).

b. Find the zero of f.

Use the given values to find an equation of the form $f(x)=a x^2+b x+c$

f(0)=5, f(1)=10, f(2)=19