Lesson 8 Quadratic Quarters Practice Understanding

Ready

Use the Pythagorean theorem to find the missing side of each right triangle . Write your answer using the and as a decimal. (Round to hundredths place.)

1.

Right triangle with one leg 3 cm and the other leg 5 cm.

2.

Right triangle with one leg 6 m and the other leg 5 m.

3.

Right triangle with one leg 8 ft and hypotenuse 10 ft.

4.

Right triangle with one leg 6 in and hypotenuse 8 in.

5.

Right triangle with one leg 1 in and hypotenuse radical5 in.

6.

Right triangle with one leg radical7 cm and the other leg 3 cm.

Set

One piece of information is given. Use it to fill in the missing information.

7.

Function in standard form:

Function in factored form:

-intercepts:

-intercept:

Graph of the function:

a blank 17 by 17 grid

8.

Function in standard form:

Function in factored form:

-intercepts:

-intercept:

Vertex:

Line of symmetry:

Domain:

Range:

9.

Function in standard form:

Vertex:

Maximum or minimum:

Interval of increase:

Interval of decrease:

Solutions to the equation:

Line of symmetry:

Domain:

Range:

10.

The side of a square is and the area is .

Solution using graphical method:

a blank 17 by 17 grid

Solution using algebraic method:

Solutions written with simplified square roots:

Solutions written as decimals:

Go

In each problem, the -intercepts of a parabola are given. Write the equation of the parabola in factored form and in standard form, given that the coefficient of is . (There is no stretch factor.)

11.

and

12.

and

13.

and

14.

and

15.

and

16.

This parabola has one -intercept at .