1. (1 point) Solve the quadratic equation (2x+3)(x6) = 5. If there is more than one correct answer, enter your answers as a comma separated list. If there are no real solutions, enter NONE. x = help (numbers)

2. (1 point) Given the function f(x) = 2x 2 100x, find its vertex: ( , ) List its x-intercept(s) as a comma separated list. If there are none, type none . List its y-intercept(s) as a comma separated list. If there are none, type none .

3. (1 point) Consider the quadratic function w(x) = 4x 2 28x+33. (a) The vertex of this parabola is at the point? help (points) (Enter a point as (h, k) including parentheses. Give exact coordinates, not approximations.) (b) What is the axis of symmetry for this parabola? help (equations) (Enter your answer in the form of an equation for a vertical line of symmetry, not just a number.)

4. (1 point) The height y (in feet) of a ball thrown by a child is y = 1 12 x 2 +4x+3 where x is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the child's hand? (Hint: Find y when x = 0.) feet (b) What is the maximum height of the ball? feet (c) How far from the child does the ball strike the ground?

6. (1 point) Find a formula for the quadratic function whose graph has its vertex at (1,4) and its y-intercept at y = 2. f(x) = help (formulas)

7. (1 point) Consider the function f(x) = 8x+4 x 2 3x54 Find the vertical asymptote(s). If there is more than one vertical asymptote give a list of the x-values separated by commas. x = 1 If this function has a horizontal asymptote, give its y-value. If there is no horizontal asymptote, type in None . Find the x-intercept(s). If there is more than one x -intercept give a list of the x -values separated by commas. x = Find the y-intercept y

8. (1 point) Consider the function f(x) = x 2 6x40 x 2 2x Find the vertical asymptote(s). If there is more than one vertical asymptote give a list of the x -values separated by commas. x = If this function has a horizontal asymptote, give its y-value. If there is no horizontal asymptote, type in None . Find the x-intercept(s). If there is more than one x-intercept give a list of the x-values separated by commas. x = Find the y -intercept. If there is no y -intercept type in None .

y =

9. (1 point) Consider the function f(x) = x 4 +x 3 2x 2 8x10 Find the vertical asymptote(s). If there is more than one vertical asymptote give a list of the x - values separated by commas. x = If this function has a horizontal asymptote, give its y-value. If there is no horizontal asymptote, type in None . Find the x -intercept(s). If there is more than one x -intercept give a list of the x -values separated by commas. x = Find the y -intercept y

10. (1 point) Consider the function f(x) = x 2 +5x24 x3 Find the vertical asymptote(s). If there is more than one vertical asymptote give a list of the x -values separated by commas.If there is no vertical asymptote, type in None . x = If this function has a horizontal asymptote, give its y-value. If there is no horizontal asymptote, type in None . Find the x- intercept(s). If there is more than one x-intercept give a list of the x-values separated by commas. x = Find the y-intercept y =