Given the quadratic function () = −32 + 12 − 8, a) Find the vertex of the parabola.
b) Calculate the difference quotient for the function
i) What is the value of the difference quotient if h = 0?
ii) Set the resulting expression equal to zero and solve for x
c) What do these two answers have in common?

The ratio of the perimeters of two similar triangles is 4: 3. what are the areas of these triangles if the sum of their areas is 130cm2?

Which statement is true about the discontinuities of the function f(x) = x-5/ 3x^2-17x-28

Nina has prepared the following two-column proof below. she is given that ∠oln ≅ ∠lno and she is trying to prove that ol ≅ on. triangle oln, where angle oln is congruent to angle lno step statement reason 1 ∠oln ≅ ∠lno given 2 draw oe as a perpendicular bisector to ln by construction 3 ∠leo ≅ ∠neo transitive property of equality 4 m∠leo = 90° definition of a perpendicular bisector 5 m∠neo = 90° definition of a perpendicular bisector 6 le ≅ en definition of a perpendicular bisector 7 δole ≅ δone side-angle-side (sas) postulate 8 ol ≅ on cpctc nina made two errors in the proof. identify and correct the errors.