Part 1
Q1: Identify the type of symmetry: y = x2.
Q1: Identify the type of symmetry: y = x2.
Q2: List the intercepts for the graph of the equation y = 5(x2 - 9)/(x2 - 1).
Q3: Find the center and radius of the circle given by x2 + y2 - 6x + 2y + 6 = 0.
Q4: What is the midpoint between the points (-1,5) and (-3,7)?
Q5: Calculate the distance between the points (3, -1) and ( -5,2). Round your answer to 2 decimal places.
Q6: Find the slope of the line perpendicular to 4x + 13y = -2. Round your answer to 2 decimal places.
Q7: Find the equation of the horizontal line passing through (-8, 5).
Q8: Find the general form of the equation of the line passing through the points (2, -3) and
(-6, -6).
(-6, -6).
Q9: Find the general form of the line perpendicular to x + 2y - 5 =0 that passes through the point (2, -1)
Q10: Find the slope of the line passing through (-2, 5) and (-5, -4). Round your answer to 1 decimal place.
Q11: Find the slope-intercept form of the equation of the line with x-intercept = 1 and
y-intercept = -1.
Q12: What is the equation of the y axis?
y-intercept = -1.
Q12: What is the equation of the y axis?
Q2: Let f (x) = 2x3-5x+3. Find the average rate of change from x = -1 to x = 2. Round your answer to 2 decimal place.
Q3: Locate any intercepts of the piecewise function
Q4: Let f (x) = (2x - 5)/(x2 + 3). Find the domain.
Q4: Let f (x) = (2x - 5)/(x2 + 3). Find the domain.
Q5: Is the function f(x)=x3 even or odd?
Q6: Evaluate g(x)= 2x3-5x2+6 at x = -2.
Q7: Find the function that is finally graphed after the following transformations are applied to the graph of y = |x|.
The graph is shifted right 1 unit, stretched by a factor of 2, shifted vertically up 2 units, and finally reflected across the x-axis.
The graph is shifted right 1 unit, stretched by a factor of 2, shifted vertically up 2 units, and finally reflected across the x-axis.
Q8: Find the function that is finally graphed after the following transformations are applied to the graph of y=x1/2
i) Shift up 2 units
ii) Reflect about the x axis
iii) Shift left 3 units
i) Shift up 2 units
ii) Reflect about the x axis
iii) Shift left 3 units
Q9: Let f (x) = -3x2 +5x + 2. How can the graph of h (x) = -3(-x)2 +5(-x)+2 be derived from the graph of f by transformations?
