High School Calculus Questions

Perform the operation s and write the result in standard form Simplify your answer completely 4 3 5i

Write the complex conjugate of the complex number 5 4i Multiply the number by its complex conjugate Simplify your answer completely

Write the complex number in standard form 4 36 2 2 3i

Review the incomplete steps in the derivation of the tangent sum identity Step 1 Original expression Step 2 Rewrite using the definition of tangent Step 3 Apply the sine sum identity and cosine sum identity Step 4 Step 5 Simplify using the definition of tangent tan x y sin x y cos x y sin x cos y cos x sin y cos x cos y sin x sin y Which action can be taken to the expression in Step 3 to give an expression for Step 4 divide both the numerator and denominator by sin x sin y divide both the numerator and denominator by sin x cos y O divide both the numerator and denominator by cos x sin y tan x tan y 1 tan x tan y

Using the equation below describe the transformations from the parent function s x x 7 8

y x x 16 a Find the zeros algebraically Enter your answers as a comma separated list If there are no real zeros enter DNE X b Use a graphing utility to graph the function y 40 20 MA 2 2 6 20 40 6 6 4 4 y 40 20 20 40 2 4 X X 6 6 4 4 2 40 y 20 20 40 y 40 20 20 40 2 2

Write an equation for the parabola in standard form Use a graphing utility to graph the equation and verify your result f x 10 5 3 2 10 5 0 7 5 10 X

Write the quadratic function in standard form f x x 18x 76 f x Sketch its graph 15 10 5 15 10 5 axis of symmetry x intercept x f x f x x f x 15 10 5 5 10 15 f x 15 10 5 5 10 5 15 5 10 10 15 15 X X 15 10 5 smaller x value 15 10 5 f x 15 10 5 5 10 15 O Identify the vertex axis of symmetry and x intercept s If an answer does not exist enter DNE vertex f x 15 10 5 5 10 15 5 5 10 10 15 15