Find the midpoint of the line segment with endpoints 5-2

Question

1. Find the distance between the points (4,-1) and (-5,3)

2. Find the midpoint of the line segment with endpoints (5,-2) and (-3,12)

3. Graph the equation y = 2(x - 1)²

4. Graph the equation 3x - y = -1

5. Find the equation of the line with slope 0 and y-intercept (0,-2).  Write your answer in the form y=mx+b

6. Write the equation of the line passing through (5,2) and (4,-2)

7. Find the vertex of the graph of the parabola f(x)=-x² + 4x - 5

8. Given the function f(x) = 3x² its range is what?

9. Evaluate g(f(1)) where f(x) = 4x - 5 and g(x) = 2x + 3

10. Determine the x - intercept of the graph of x = y² - 4

11. Determine the center of the circle (x + 2)² + (y -1)² = 16

12. Given f(x) = x² - 4 if x< -1

3x+2 if x ≥ 1;     find f(-1)

13. Which set of ordered pairs (x,y) define y as a function of x?

I. {(4,7), (3,7), (2,5), (8,-8)}

II. {(5,1), (-3,4), (-3,2)}

14. Determine the domain of the function f(x) = √(6 - x)

15. Consider all the ordered pairs shown on Graph A and all the ordered pairs shown on Graph B. Which set of ordered pairs defines a function?

16. The length of the base of a triangle is eight times the length of its altitude. Express the area (A) of the triangle as a function of its altitude x.

17. Find the slope of the line passing through the points (-1,-2) and (1,4) 18.)

For any two parallel lines:

A. the slopes are zero

B. the slopes are reciprocals

C. the slopes are positive

D. the slopes are equal

19. Find the value of x in the domain of f(x)=-2x - 3 for which f(x)=3

20. If the quadratic function f(x)=-4x+6 is graphed the range has

A. a maximum value

B. a minimum value

C. no maximum or minimum value

D. many maximum and minimum values.