Algebra worksheet
Worksheet 5 Name:
Problems 1-8. Write equation of the line described. If diagonal, write equation in slope-intercept
form.
1) Slope is 3
4 ; through (3,-2)
2) Slope is -3; through (0,5)
3) Through (1,2) and (-3,4)
4) Through (0,3) and perpendicular to 𝑦 = 4𝑥 + 3
5) Through (2,6) and parallel to 3𝑥 − 4𝑦 = 6
6) Slope is 0; through (1,2)
7) Through (1,-3) and parallel to 3𝑦 − 2𝑥 = 6
8) Write equation of the line pictured below.
Problems 9-10. Graph the line, label at least two points.
9) 5
( ) 5 2
f x x 10) ( ) 3f x
Problems 11-14. Provide the requested info for the given quadratic function. If necessary round to 2
decimal places.
11) 2
( ) ( 3) 4f x x 12) 2
( ) 2( 7) 18g x x
Vertex:________________ Vertex:_________________
A.O.S:_________________ A.O.S:__________________
x-intercepts:_____________ x-intercepts:______________
y-intercepts:_____________ y-intercepts:______________
Domain:________________ Domain:_________________
Range:__________________ Range:___________________
13) 2
( ) 3 6 10f x x x 14) 2
( ) 2 8 3g x x x
Vertex:________________ Vertex:_________________
A.O.S:_________________ A.O.S:__________________
x-intercepts:_____________ x-intercepts:______________
y-intercepts:_____________ y-intercepts:______________
Domain:________________ Domain:_________________
Range:__________________ Range:___________________
Problems 15-16. Sketch the graph of the quadratic function. Label the vertex and two additional
points.
15) 21
( ) ( 3) 2 2
f x x 16) 2
( ) 4 3g x x x
Problems 17-20. Write an equation for the parabola described or depicted.
17) Vertex (-5,3) and thru (2,9) 18) Vertex (2,3) and thru (5,12)
19) 20)
21) A rocket is launched in the air. Its height, in meters, t seconds after launch is given by the function 2
( ) 4.9 229 234h t t t .
a) Determine the height of the rocket 2 seconds after launch.
b) Find the maximum height the rocket attains. Round to two decimal places.
c) Determine how long the rocket will be in flight. Round to two decimal places.