Calculus

7) Find the function that is finally graphed after the following transformations are applied to the graph of y = IxI. The graph is shifted right 3 units stretched by a factor of 3, shifted vertically down 2 units, and finally reflected across the x-axis

A) y = -(3|x - 3| - 2)

4) List the intercepts for the graph of the equation. 4x^2 + 16y^2 = 64

B) (-4, 0) (0, -2) (0, 2) (4, 0)

13) Write the standard form of the circle

B) (x-6)^2+(y -4)^2=4

3) Find the midpoint of the line segment joining the points P1 and P2. P1 = (5, -8); P2 = (-1, -6)

B) 2, - 7

5) Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin x^2 + y - 81 = 0

B) y-axis

8) Use a graphing utility to approximate the real solutions, if any, of the equation rounded to two decimal places. x^3- 6x + 3 = 0

B) {2.15, 0.52, -2.67}

1) Find the distance between (3,6) and (-4,-2)

B. √(113)

9) Find the slope of the line containing the two points. (8,-7); (-3, 8)

C) -15/11

6) Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin y = -8x^3 + 6x

C) Origin

10) Find an equation for the line with the given properties. Slope undefined; containing the point -4/7, 3

C) x= -4/7

12) Find an equation for the line with the given properties. Perpendicular to the line y =2x - 4; containing the point (1, -2)

C) y= -1/2x - 3/2

2) Find all values of k so that the given points are 29 units apart. (-5, 5), (k, 0)

C. -3, -7

11) Find the slope-intercept form of the equation of the line with the given properties. Slope = 0; containing the point (-9, -7)

y= -7