Book Duchess
New member
Show steps to solve each problem and reason/explanation for each step.
1. Given the points (4,7) and (-2,19) find the equation of a line through the 2 points and then find the perpendicular line through the midpoint of the segment.
2. If we have the function f(x)=-3(x-2)^(2)+4 explain what the parent function is and then graph the given function by hand explaining all the steps.
3. Completely factor f(x)=4x^(4)-4x^(3)-4x^(2)-4x-8 (hint i is root), and explain why the hint helps.
4. Derive the quadratic formula from a basic quadratic equation by solving for x. For the basic quadratic equation, I want you to use dx^(2)+ex+f=0. Explain each step of your solution.
5. Graph by hand, explain all asymptotes and intersections: y= ((x+2)(x-4))/(x(x+3)(x-2))
1. Given the points (4,7) and (-2,19) find the equation of a line through the 2 points and then find the perpendicular line through the midpoint of the segment.
2. If we have the function f(x)=-3(x-2)^(2)+4 explain what the parent function is and then graph the given function by hand explaining all the steps.
3. Completely factor f(x)=4x^(4)-4x^(3)-4x^(2)-4x-8 (hint i is root), and explain why the hint helps.
4. Derive the quadratic formula from a basic quadratic equation by solving for x. For the basic quadratic equation, I want you to use dx^(2)+ex+f=0. Explain each step of your solution.
5. Graph by hand, explain all asymptotes and intersections: y= ((x+2)(x-4))/(x(x+3)(x-2))